Strict Condition Research Articles

Existence of solutions for a class of nonlinear Neumann boundary value problems in the presence of upper and lower solutions

In this article, we explore the monotone iterative technique (MI‐technique) to study the existence of solutions for a class of nonlinear Neumann four‐point, boundary value problems (BVPs) defined as, where and . The nonlinear term , where , is Lipschitz in and one‐sided Lipschitz in . Using lower solution and upper solutions , we develop MI‐technique, which is based on quasilinearization. To construct the sequences of upper and lower solutions which are monotone, we prove maximum principle as well as anti‐maximum principle. Then under certain assumptions, we prove that these sequences converge uniformly to the solution in the specific region, where or . To demonstrate that the proposed technique is effective, we compute the solution of the nonlinear multi‐point BVPs. We don't require sign restriction on which is very common and strict condition.

In-situ TEM investigation of dislocation loop reaction and irradiation hardening in H2+-He+ dual-beam irradiated Mo

• Irradiation can directly cause the formation of 1/2<111> loops and <100> loops. • Irradiation can directly induce 1/2<111>loop to transform into <100> loop. • Two 1/2<111> loops react to form <100> loop without strict size similarity condition. • Yield strength increment caused by irradiation-induced loops is analyzed. • Loop evolution and its relationship with irradiation dose are established. Through in-situ TEM observation during 30 keV H 2 + -He + dual-beam irradiation at 723 K, the reaction and transformation of dislocation loops in pure Mo were investigated, especially for <100> loops. Irradiation could directly cause the formation of 1/2<111> loops and <100> loops, but 1/2<111> loops were dominant. In-situ observation confirmed the formation mechanism of <100> loops, including direct irradiation induced mechanism, 1/2<111> loop direct conversion mechanism, and reaction mechanism of two 1/2<111> loops. Meanwhile, the reaction of two 1/2<111> loops to produce <100> loop should not require the strict size similarity condition. The reaction between 1/2<111> loops could also produce 1/2<111> loop, which was essentially a process in which one loop absorbed another one. The yield strength increment caused by irradiation-induced loops was analyzed, and its saturation value reached 0.48 GPa at 0.06 dpa. Compared with single He + irradiation, the number density and average diameter of loops increased significantly and more serious damage was caused under the synergistic effect of hydrogen and helium. The mechanism based on in-situ experimental observation was discussed in depth. Graphical Abstract .

The Impact of Sulfate-Driven Anaerobic Oxidation of Methane on the Carbon Isotopic Composition in Marine Sediments: A Case Study from Two Sites in the Shenhu Area, Northern South China Sea

Abstract Authigenic carbonate in seep environments, as a direct byproduct of sulfate-driven anaerobic oxidation of methane (SD-AOM), is usually absent within the sediment column because of the requirement of a strict formation condition. In this case, the lack of a reliable carbon signal may impede the identification of SD-AOM and methane leakage. Here, carbon and oxygen isotopes, elemental compositions, AMS 14C dates in sediments, and porewater geochemistry were investigated from two sites (A27 and SH1) of the Shenhu area, northern South China Sea (SCS), to discuss how SD-AOM affects the carbon isotope in methane-affected marine sediments. Porewater results at both sites indicate the occurrence of methane diffusion from the sulfate-methane transition zone (SMTZ) below. The carbon isotopes of bulk-sediment carbonate and foraminifera show no distinctly negative excursion, reflecting that these signals are invalid in response to SD-AOM in the investigated sites. Then, a mass balance model is adopted to evaluate the δ13C value of authigenic carbonate (δ13CAC). Consequently, three intervals (A2 and A3 from site A27 and S2 from site SH1) are identified, featuring negative δ13CAC values, high TS/TOC ratios, and enhanced contents of authigenic carbonate, which are most likely influenced by SD-AOM. Considering the current SMTZ located at deeper layers, intervals A2 and S2 represent the locations of paleo-SMTZ, while interval A3 is thought to be influenced by the current methane diffusion. Interestingly, the δ13C values of total organic matter (δ13CTOC) show positive excursions within the paleo-SMTZs, which can be explained herein by the diagenetic modification. In the course of SD-AOM at the SMTZ, high rate of (methylotrophic) methanogenesis preferentially consumes lighter carbon atoms in organic matter, with the remainder being gradually more positive. Our results indicate that the exploration of a reliable methane-carbon response in systems lacking seep carbonates plays an important role in constraining SD-AOM and methane release.

Calibration of laboratory derived indices for non-target arthropod risk assessment with field data for plant protection products

The Hazard Quotient (HQ) compares field application rate to intrinsic toxicity assessed with sensitive indicator species. As a hazard indicator for risk assessment, the HQ must be calibrated against measured effects under field conditions. Because protection goals may be context specific, we analyse how choice of acceptance criteria affects setting of the HQ and calibrate HQ for various scenarios under the strict condition that no false negative conclusions may be reached. We use Non-Target Arthropod toxicity data from laboratory studies on inert (Tier 1) and on natural substrates (Tier 2) and calibrate the HQ using application rates and arthropod abundance counts from field studies in orchards, arable fields, and hay meadows in 34 locations in Western Europe. With 21 formulations (17 active substances) tested in mostly multi-rate field studies, our reference data base has 120/121 values at Tier 1/Tier 2, respectively. We use the Proportion of Affected Taxa and Duration of Effect to jointly define acceptance criteria, starting with No Observed Effects. Absence of field effects is correctly predicted with HQ < 1.3 at Tier 1 and HQ < 0.48 at Tier 2, but these settings result in a high proportion of false positive outcomes. Increasing accepted duration of effect from 0 to 4 to 8 weeks results in HQ-threshold changes from 1.3 to 6.4 to 250 for Tier 1 studies and from 0.48 to 1.1 to 5.7 for Tier 2 studies. This coincides with a clear decrease in false positive outcomes. Recovery within a year is correctly concluded for 73% of the products passing the corresponding Tier 1 HQ < 2600 and for 92% of products at Tier 2 (HQ <230). Our analysis shows that the calibration is appropriate for a broad geographical range, for in-field and off-field situations and for phytophagous and non-phytophagous species alike.

Lactobacillus huangpiensis sp. nov. and Lactobacillus laiwuensis sp. nov., isolated from the gut of honeybee (Apis mellifera).

Four Gram-stain-positive bacterial strains were isolated from the gut of honeybee (Apis mellifera) in China. These strains were characterized using a polyphasic taxonomic approach. The data demonstrated that three of the four strains represented two novel species of the genus Lactobacillus, strains F306-1T and F551-2T were designated as the type strains. Results of 16S rRNA gene sequence analysis indicated that strains F306-1T, F447 and F551-2T were phylogenetically related to the type strains of Lactobacillus kimbladii and Lactobacillus kullabergensis, having 99.1-99.7 % 16S rRNA gene sequence (about 1400 bp) similarities. The phylogenetic tree based on concatenated pheS, rpoA, gyrB, hsp60, recA, rpoB and tuf sequences (4114 bp) and the phylogenomic tree based on whole genome sequences indicated that strains F306-1T and F447 were most closely related to L. kullabergensis Biut2NT, and strain F551-2T was most closely related to L. kimbladii Hma2NT. Strains F306-1T and F447 shared 99.9 % average nucleotide identity (ANI), 99.7 % digital DNA-DNA hybridization (dDDH) and 99.9 % average amino acid identity (AAI) values, indicating that they belong to the same species. Strain F306-1T exhibited the highest ANI (94.4 %), dDDH (56.7 %) and AAI (94.7 %) values to L. kullabergensis Biut2NT. Strain F551-2T had the highest ANI (94.0 %), dDDH (54.3 %) and AAI (95.8 %) values with L. kimbladii Hma2NT. Acid production from amygdalin, maltose, starch, gentiobiose and turanose, activity of esterase (C4) and α-glucosidase, growth with 3 % NaCl at 37 °C under strict anaerobic condition (on mMRS agar plates), and growth with 1-6% NaCl at 37 °C under aerobic condition (on mMRS agar plates supplemented with 0.05 % cysteine or with 1 % cysteine and 2 % fructose) could differentiate strains F306-1T and F447 from L. kullabergensis DSM 26262T. Acid production from d-glucose, arbutin and gentiobiose, growth with 3 % NaCl at 37 °C under strict anaerobic condition (on mMRS agar plates), and growth at 45 °C under strict anaerobic condition (on mMRS agar plates) could differentiate strain F551-2T from L. kimbladii DSM 26263T. Based upon the data obtained in the present study, two novel species, Lactobacillus huangpiensis sp. nov. and Lactobacillus laiwuensis sp. nov., are proposed and the type strains are F306-1T (=LMG 32144T=JCM 34361T=CCTCC AB 2020300T) and F551-2T (=JCM 34502T=CCTCC AB 2021027T), respectively.

Influence of Freeze-Dried Diet on Oral Hygiene Indicators in Strict Isolation Condition of an Analog Space Mission.

Analog space missions were created to study the human factor in extraordinary conditions that would occur in future space habitats. Isolation has been shown to cause stress and disrupt individuals’ daily routine, which can also affect their oral hygiene and lead to an increased risk of dental caries and gingivitis. The astronauts’ specific freeze-dried diet is associated with “lazy” chewing, potential dehydration and vitamin A deficiency, which may adversely affect their saliva. The aim of this study is to investigate the influence of the freeze-dried diet on selected oral hygiene indicators in analog astronauts (AA) enduring strict isolation conditions during six consecutive analog space missions at the LunAres Research Station. During the experiment the oral hygiene and gingival inflammation status measurements were conducted on the group of AAs at the beginning and at the end of each mission. Measurements included four oral hygiene indicators: API, sOHI, PI by Silness and Loe and GBI by Ainamo and Bay. Each AA’s individual scores were noted and analyzed. Statistically significant reduction in the amount of plaque and intensity of gingival bleeding was observed over the course of the study, which could indicate positive results of applied oral hygiene procedures despite unfavorable dietary and stressful isolation conditions.

Insight into enrichment of anammox bacteria by a polyurethane sponge carrier coupled with iron-carbon micro-electrolysis under no strict anaerobic condition

A novel composite carrier (ICME-PS) was formed by coupling polyurethane sponge carriers (PS) with different pore sizes (15, 25, 40 ppi) and iron-carbon micro-electrolysis (ICME), which was used for enrichment of anammox bacteria and stable operation under no strict anaerobic condition. An increase of 5.67%-38.55% in specific anammox activity (SAA), an significant enhancement of biofilm stability and an improvement of 14.61%-42.38% in Ca.Brocadia were observed in ICME-PS, compared to PS carriers. ICME played a dual role: 1) contributed to the formation of an anaerobic microenvironment; 2) used for nitrogen cycle reactions. Additionally, small-pore carriers with highest biofilm stability can be used in high shear environments, while medium-pore carriers achieved the highest SAA in stable environments. Extended Derjaguin-Landau-Verwey-Overbeek (XDLVO) analysis indicated that ICME application reduced the energy barrier and improved aggregation performance. This study designed a novel composite carrier to broaden the application of anammox under no strict anaerobic condition.

Preliminary Study on the Effective Microbial Supplementation of Feed on the Infection of &amp;lt;i&amp;gt;Salmonella&amp;lt;/i&amp;gt; in Two Lymph Nodes of Beef Cattle in Eastern Ethiopia

A double-blinded randomized controlled field trial based on parallel group design was conducted from January, 2018 to July, 2018 in Chercher Oda-Bultum Farmers Union beef Farm. The present study was conducted to evaluate the roll of effective microbial supplementation to feed on the infection of Salmonella in the mesenteric and sub-iliac lymph nodes of beef cattle. In order to undertake the study, 130 beef cattle kept by the farm were used to establish a cohort. The study animals were randomly assigned to the treatment group (n = 100) and control group (n = 30). The feed of treatment group was mixed with EM at dose of 5× 1010 cfu/day/head for 90, 100 and 115 days while that of the control group was mixed with molasses, which acts as placebo. Both the treatment and control were slaughtered and two lymph nodes were collected from each animal under strict sterile condition and processed for the isolation and identification of Salmonella using standard procedure. The occurrence of Salmonella was 70% (CI = 51% - 85%) in control group while it was 33% (CI = 24% - 43%) in treatment group. The difference in the proportion of Salmonella infection in the two group was significant (x2 = 13.01; p = 0.000). The relative risk of Salmonella isolation in the control was 2.12 (1.41 - 3.20) compared to treatment group. The absolute and relative risk reduction in the treatment were 37% (CI = 17% - 57%) and 53% (CI = 29% - 69%), respectively. This preliminary study indicated that effective microbial supplementation of beef cattle feed reduced the occurrences of Salmonella in the lymph node of beef cattle, thereby potentially minimizing the economic and public health impacts of Salmonella infection. Then, it was recommended to use EM as prevention and control option in Salmonella carriage in cattle.

Detection of Spoofing Attacks in Aeronautical Ad-Hoc Networks Using Deep Autoencoders

We consider an aeronautical ad-hoc network relying on aeroplanes operating in the presence of a spoofer. The aggregated signal received by the terrestrial base station is considered as &#x201C;clean&#x201D; or &#x201C;normal&#x201D;, if the legitimate aeroplanes transmit their signals and there is no spoofing attack. By contrast, the received signal is considered as &#x201C;spurious&#x201D; or &#x201C;abnormal&#x201D; in the face of a spoofing signal. An autoencoder (AE) is trained to learn the characteristics/features from a training dataset, which contains only normal samples associated with no spoofing attacks. The AE takes original samples as its input samples and reconstructs them at its output. Based on the trained AE, we define the detection thresholds of our spoofing discovery algorithm. To be more specific, contrasting the output of the AE against its input will provide us with a measure of geometric waveform similarity/dissimilarity in terms of the peaks of curves. To quantify the similarity between <i>unknown</i> testing samples and the <i>given</i> training samples (including normal samples), we first propose a so-called <i>deviation-based algorithm</i>. Furthermore, we estimate the angle of arrival (AoA) from each legitimate aeroplane and propose a so-called <i>AoA-based algorithm</i>. Then based on a sophisticated amalgamation of these two algorithms, we form our final detection algorithm for distinguishing the spurious abnormal samples from normal samples under a strict testing condition. In conclusion, our numerical results show that the AE improves the trade-off between the correct spoofing detection rate and the false alarm rate as long as the detection thresholds are carefully selected.

Stability-Certified Reinforcement Learning Via Spectral Normalization

In this article, two types of methods from different perspectives based on spectral normalization are described for ensuring the stability of the system controlled by a neural network. The first one is that the L2 gain of the feedback system is bounded less than 1 to satisfy the stability condition derived from the small-gain theorem. While explicitly including the stability condition, the first method may provide an insufficient performance on the neural network controller due to its strict stability condition. To overcome this difficulty, the second one is proposed, which improves the performance while ensuring the local stability with a larger region of attraction. In the second method, the stability is ensured by solving linear matrix inequalities after training the neural network controller. The spectral normalization proposed in this article improves the feasibility of the a-posteriori stability test by constructing tighter local sectors. The numerical experiments show that the second method provides enough performance compared with the first one while ensuring enough stability compared with the existing reinforcement learning algorithms.

Evaluating the Effective Microbial Supplementation of Feed on the Load of &amp;lt;i&amp;gt;Salmonella&amp;lt;/i&amp;gt; in Two Lymph Nodes of Beef Cattle in Eastern Ethiopia

The present study was conducted to evaluate the role of effective microbial supplementation to feed on the load of Salmonella in the mesenteric and sub-iliac lymph nodes of beef cattle. Bulls of Harer cattle breed managed at Chercher Oda-Bultum Farmers Union beef Farm were used as study subject. A total of 130 bulls were used using double blinded randomized controlled field trial based on parallel group design from January 2018 to July 2018. The study animals were randomly assigned to the treatment group (n = 100) and control group (n = 30). The feed of treatment group was mixed with EM at dose of 5 × 1010 cfu/day/head and supplemented for 90, 100 and 115 days while that of the control group was mixed with molasses, which acts as placebo. Both the treatment and control were slaughtered and two lymph nodes were collected from each animal under strict sterile condition and processed for the isolation and identification of Salmonella using standard procedure. A significant (p = 0.001) reduction in the load of Salmonella was observed in the lymph node of treatment group as compared to the control group. The load of Salmonella was significantly affected by length of feeding period and age of bulls. This study indicated that effective microbial supplementation to bulls from Harar cattle reduces the load of Salmonella in the lymph node of beef cattle thereby potentially minimizing the economic and public health impacts of Salmonella infection.

Three cases of Actinomyces isolation from the eye lesions of patients with a chronic and recurrent ophthalmic infection

Actinomycosis is an indolent, slowly progressive infection caused by Gram-positive facultative anaerobic bacteria from the genus Actinomyces. These bacteria have been reported as a cause of ophthalmic infections such as endophthalmitis, keratitis, and canaliculitis. The objective of the present study was to investigate the pattern and antibiotic sensitivity profile of anaerobes isolated from lesions in the medial canthus of the eye. Three pus aspirate samples (from eye) were delivered to a microbiology laboratory in a strict anaerobic condition in Robertson Cooked Meat media (RCM). The samples were inoculated on Blood Agar and incubated anaerobically in a Gas Pack Jar incubator at 5%-10% CO2 and in aerobic condition at 37°C. Pure colonies isolated on anaerobically incubated plates were identified by the VITEK® 2 COMPACT system. Antibiotic sensitivity testing was conducted using an Epsilometer-strip test. Three isolates identified and confirmed with the help of VITEK® 2 were Actinomyces israelii, Actinomyces odontolyticus, and Actinomyces meyeri. All three species of Actinomyces were sensitive to Vancomycin, Moxifloxacin, and Imipenem, but they were resistant to Metronidazole. Since there have been several cases of anaerobic ophthalmic infections reported to date, samples from patients with chronic eye infections should be analyzed for anaerobic culture for correct diagnosis and proper treatment. Moxifloxacin but not Metronidazole is a suitable drug for the treatment of anaerobic eye infection.

Convergence analysis for split hierachical monotone variational inclusion problem in Hilbert spaces

Abstract In this paper, we introduce a new iterative algorithm for approximating a common solution of Split Hierarchical Monotone Variational Inclusion Problem (SHMVIP) and Fixed Point Problem (FPP) of k-strictly pseudocontractive mappings in real Hilbert spaces. Our proposed method converges strongly, does not require the estimation of operator norm and it is without imposing the strict condition of compactness; these make our method to be potentially more applicable than most existing methods in the literature. Under standard and mild assumption of monotonicity of the SHMVIP associated mappings, we establish the strong convergence of the iterative algorithm.We present some applications of our main result to approximate the solution of Split Hierarchical Convex Minimization Problem (SHCMP) and Split Hierarchical Variational Inequality Problem (SHVIP). Some numerical experiments are presented to illustrate the performance and behavior of our method. The result presented in this paper extends and complements some related results in literature.

Intra uterine insemination

Intrauterine insemination is a simple, non-invasive and safe initial treatment option, especially in low resource settings for selected group of patients before initiating assisted reproduction technology treatment. A wise selection of patients and timing are key to its success. Detailed assessment of the infertile couple, controlled ovarian stimulation with follicular development monitoring, appropriate processing the seminal fluid, trigger with hCG at a correct time, single IUI in strict aseptic condition followed by 10-15 minutes of immobilization are currently considered vital elements of Intrauterine insemination to improve its outcome. Intrauterine insemination can be considered as a bridge between basic and advanced fertility treatment for selected infertile couples especially in countries with limited resources for assisted reproductive technologies.

On Linear Programming for Constrained and Unconstrained Average-Cost Markov Decision Processes with Countable Action Spaces and Strictly Unbounded Costs

We consider the linear programming approach for constrained and unconstrained Markov decision processes (MDPs) under the long-run average-cost criterion, where the class of MDPs in our study have Borel state spaces and discrete countable action spaces. Under a strict unboundedness condition on the one-stage costs and a recently introduced majorization condition on the state transition stochastic kernel, we study infinite-dimensional linear programs for the average-cost MDPs and prove the absence of a duality gap and other optimality results. Our results do not require a lower-semicontinuous MDP model. Thus, they can be applied to countable action space MDPs where the dynamics and one-stage costs are discontinuous in the state variable. Our proofs make use of the continuity property of Borel measurable functions asserted by Lusin’s theorem.

Design of the Wearable Spatial Gravity Balance Mechanism

Abstract Gravity compensation mechanisms are widely used in manipulators and exoskeletons as passive components that generate counter-gravity force and save energy. While there have been making great progresses in the design of gravity compensators, a strict condition that the axes of the gravity compensators are aligned with the axes of the links being balanced (LBBs) exactly is usually assumed implicitly, which is difficult to achieve for exoskeletons in practice. In this paper, the design method of the wearable spatial gravity compensator compatible to the misalignment between the rotation centers of the LBB and the compensator is carefully studied. First, the design of the planar gravity compensation unit (PGCU) is presented for each link when rotating in the yaw plane, and next, the PGCU is adapted into the spatial gravity compensation unit (SGCU) to accommodate the general rotation of the LBB. Then, the type synthesis of the SGCU is conducted followed by the analyses of the acting patterns of synthesized SGCUs on the LBBs and gravity compensation performances when the misalignments occur. Finally, the SGCUs are combined with timing belt mechanisms (TBMs) to construct gravity compensation mechanisms for spatial serial linkages. Simulations of an exoskeleton constructed by SGCUs are conducted to verify the performance of gravity balance and the effectiveness of the proposed design method.

Immunostimulatory multi-interfacial bimetallic phosphide nanoparticles as photo-enhanced cascade nanozyme for cancer therapy

Nanozyme has been widely explored for tumor catalytic therapy. Nevertheless, highly efficient and specific cancer therapy with nanozyme is still challenging under the strict condition of tumor microenvironment (TME). Herein, we fabricate a bimetallic phosphide nanoparticle (CuFeP) with multiphase interfaces as a photo-enhanced cascade nanozyme for efficient immunostimulatory cancer therapy. The CuFeP has structural, atomic and electric coupling with multi-interfacial heterojunction to promote the interfacial electron transfer, and the bimetallic redox couple of Cu+/2+ and Fe0/2+/3+ to synergistically improve the cascade catalysis of peroxidase (POD) and glutathione peroxidase (GPX), thereby inducing lethal cellular oxidative damage. Moreover, the excellent photothermal efficiency of 66.9% assists in catalysis in view of thermodynamics. Finally, the synergetic catalysis triggers immune cell death (ICD) process, which promotes maturation of dendritic cells (DCs), activation of cytotoxic and helper T cells, and excretion of proinflammatory cytokines to boost antitumor immunity in vivo. This study provides an enlightenment for the design of efficient therapeutic nanozyme to conquer cancer.

Two Optimal Value Functions in Parametric Conic Linear Programming

We consider the conic linear program given by a closed convex cone in an Euclidean space and a matrix, where vector on the right-hand side of the inequality constraint and the vector defining the objective function are subject to change. Using the strict feasibility condition, we prove the locally Lipschitz continuity and obtain some differentiability properties of the optimal value function of the problem under right-hand-side perturbations. For the optimal value function under linear perturbations of the objective function, similar differentiability properties are obtained under the assumption saying that both primal problem and dual problem are strictly feasible.

Analysis of Welding Position and Current on Mechanical Properties of A36 Steel using Shield Metal Arc Welding

Welding is an assembly process that is most often used in the world of construction today. Welding is often used for repairing and maintenance of all tools made of metal, both as a process for filling cracks, temporary joining, or cutting metal parts. This study aims to determine the effect of welding current and position on the tensile strength and Vickers hardness (HV). This study uses ASTM A36 steel plate as base material. The variation of welding currents used are 90A, 110A, and 130A combine with variations in positions 1G, 2G, and 3G. The electrode used in this study is E6013 electrode with a diameter of 3.2 with a butt joint connection. All of processes are performed in room temperature with a strict condition. The results are as follow, the highest Ultimate Tensile Strength is obtained at 90A current and 3G position with a value of 471.93 MPa. For the highest hardness in the Vickers test, it is also obtained at 90A current and 3G position with a value of 242.20 Kgf/mm2.

Hybrid model with viscous relativistic hydrodynamics: a role of constraints on the shear-stress tensor

We present the hybrid hadron string dynamic (HydHSD) model connecting the parton-hadron-string dynamic model (PHSD) and a hydrodynamic model taking into account shear viscosity within the Israel-Stewart approach. The performance of the code is tested on the pion and proton rapidity and transverse mass distributions calculated for Au+Au and Pb+Pb collision at AGS--SPS energies. The influence of the switch time from transport to hydro models, the viscous parameter, and freeze-out time are discussed. Since the applicability of the Israel-Stewart hydrodynamics assumes the perturbative character of the viscous stress tensor, $\pi^{\mu\nu}$, which should not exceed the ideal energy-momentum tensor, $T_{\rm id}^{\mu\nu}$, hydrodynamical codes usually rescale the shear stress tensor if the inequality $\|\pi^{\mu\nu}\|\ll \|T_{\rm id}^{\mu\nu}\|$ is not fulfilled in some sense. We show that the form of the corresponding condition plays an important role in the sensitivity of hydrodynamic calculations to the viscous parameter -- a ratio of the shear viscosity to the entropy density, $\eta/s$. It is shown that the constraints used in the vHLLE and MUSIC models give the same results for the observables. With these constraints, the rapidity distributions and transverse momentum spectra are most sensitive to a change of the $\eta/s$ ratio. As an alternative, a strict condition is used. We performed global fits the rapidity and transverse mass distribution of pion and protons. It was also found that $\eta/s$ as a function of the collision energy monotonically increases from $E_{\rm lab}=6A$GeV up to $E_{\rm lab}=40A$GeV and saturates for higher SPS energies. We observe that it is difficult to reproduce simultaneously pion and proton rapidity distribution within our model with the present choice of the equation of state without a phase transition.