Forced displacement or forced migration causes physiological and psychological stress that negatively impacts the physical, emotional well-being and education of refugee/IDP students. The purpose of the article is to identify the socio-pedagogical difficulties faced by refugee/IDP students. The research was conducted under blockade conditions from December 2022 to June 2023 in Artsakh (Nagorno-Karabakh). Methods: A mixed-type research method was used (quantitative survey, qualitative interview, focus groups, observation) among refugee/IDP students, their parents, as well as their teachers, and the results were processed using expert research, historical, comparative analysis. The results of the study confirm that forced displacement is the main cause of cognitive, behavioral, motivational, consumer, and communicative difficulties among forcibly displaced students. 69.6% of refugee/IDP students believe that after forced displacement they began to study worse, and among the problems that trouble them, respondents noted longing and nostalgia for home (62%), which is an endemic phenomenon. Interestingly, the majority of parents (74.2%) believe that their children's school performance has declined due to displacement. And the absolute majority of teachers (72.2%) characterize the weak initiative and passivity of refugee/IDP students. They have psycho-pedagogical problems: learning difficulties, neurotic reactions, phobias, sleep/appetite disorders, and behavioral disorders due to traumatic shock.

The purpose of the article is to reveal the characteristics of the correlation between intelligence and willpower at different stages of personality development. In the article the author reviews the specifics between intellect and will-power of the three stages of person's  development. It is mentioned that connections with different level of expression have revealed between intellect and will-power. Based on those, the author makes conclusion that intellect and will-power are factors of hard connections. Intelligence has been found to have a regulatory function in a person's willpower. At different stages of a person's development, depending on the problems at the given stage, willpower becomes more relevant, and the regulatory function of the intellect in relation to the actualized properties increases.

The European Union, a community consisting of 27 member states with completely different histories, cultures, economies and levels of development, needs certain clear rules of the game that will ensure peaceful coexistence and continuity of coexistence of states gathered under one integration roof. This article focuses on the principle of subsidiarity in the EU and its role in conflict management. The purpose of this article is to provide a comprehensive overview of how subsidiarity operates as a mechanism to reduce tensions and promote cooperation between EU member states. The analysis focuses on the historical application of this principle in different political contexts to identify patterns and general trends. The methodological approach of the article is based on a comprehensive analysis of political decision-making processes at the EU level, taking into account the principle of subsidiarity. By combining qualitative and quantitative research methods, the impact of this principle on conflict identification, prevention and resolution is systematically explored. It was confirmed that targeted and effective implementation of the principle of subsidiarity in the EU can make a significant contribution to conflict prevention and resolution. Principle of subsidiarity acts as the main tool for conflict management in the EU, plays a central role.

The object of study is the phenomenon of parametric resonance from the point of view of physical interpretation.              The purpose of the study is to identify one of the special cases of the phenomenon of parametric resonance associated with an oscillating reference frame, when the parametric system contains time-dependent capacitive and inductive reactance. Based on physical measurements using a simple mathematical apparatus, qualitative analyzes are given that combine the harmony of mathematical and physical approaches. Parametric resonance is an extremely complex phenomenon associated with the imbalance of linear systems. Therefore, disequilibrium occurs due to small accumulations in an infinite time interval. Like small clusters, infinite time intervals are not suitable for graphical representation and physical interpretation of resonance. For this reason, the study of parametric resonance leads to formal mathematical problems that are idealized and difficulties arise when comparing them with practical ones. Theoretical methods, analyzing professional literature, also a quantitative analysis of the obtained results are used. In the radio-physical literature, insufficient attention is paid to the study of two non-stationary reactivity, although the possibilities of using a parametric circuit can be significantly expanded. The article analyzes this problem, since it was solved exclusively by physical methods.

Chess teaching approach in junior classes of primary schools is discussed in the article, considering it as a leading educational activity, as it completely reflects the essence of psychological renovation. Chess education is considered to be the unique display of resistant process of aimed unification of educational activity, the result of which are the actions with certain characteristics (scientific, systematic, generalized, etc.). The idea of junior school education can be newly interpreted in the process of chess teaching. In this context the model of professional competences of a chess teacher, which is the means of the formation of academic activity, must be considered and checked in primary schools as well. Thus, the purpose of the research is to reveal the real place of teaching of chess as a leading activity and to suggest a new model of competencies with the perspective of cognitive block and activation of cognitions. During the research, the following methods have been used: theoretical analysis, modeling, combination of empirical studies. It has been revealed that chess education in primary school is built with the mechanism of combining suitable learning activities, which in its cognitive nature reflects the entire element of the competences of the chess teacher.

The object of the study is the elements of combinatorics at the comprehensive secondary school. The aim of the article is to improve the methodological system of teaching elements of combinatorics at the comprehensive secondary school. The article discusses methodological issues and problems of studying combinatorics elements in the process of teaching mathematics. The methodological features of studying combinatorics elements at the comprehensive secondary school are identified and characterized, their role in the course of mathematics from the point of view of improving the effectiveness of learning is considered. The methods and methodical techniques of teaching combinatorial material, which were previously tested in our educational process, are presented. The possibilities and expediency of their application in connection with the age peculiarities of students are substantiated. Methodological guidelines for teaching individual topics of combinatorics are given. Within the framework of teaching each topic, interesting tasks of applied significance are presented. Effective methods of their solution are given. The presented tasks have been tested for years in our teaching practice. In the process of teaching the elements of combinatorics, methods of cooperative learning, mathematical modeling, graphical modeling, coding, methods that promoting inter- and intra-subject connections were used.

The article examines the distribution of the complement system and the concentration of IgE in materials taken for analysis in certain industrial zones of the Ararat region of Armenia. An analytical review of the collected factual material in children is carried out, the spread of diseases of various etiologies and their characteristics among the child population in the Republic of Armenia, depending on environmental factors and disturbances in the environment. The complement system is a complex of protective proteins present in the blood. C3 is a central component of the complement system, an acute phase protein. Analysis of the content of the C3a component of the complement system and the concentration of serum IgE in children is of interest in the diagnosis of immunodeficiency conditions caused by hereditary defects of the complement system, and in the timely detection of those autoimmune diseases that contribute to an increase in the consumed complement component. The purpose of the article: to collect factual material and identify interdependent features that influence the spread of diseases of various etiologies among the child population in the RA due to environmental factors and disturbances in the environment of those regions of Ararat.

The presented work is devoted to one of the most important areas of applied mathematics, namely mathematical programming. The following general mathematical programming problem is considered where   are Lipschitz, and  is closed set. The purpose of the work is to obtain optimality conditions for the problem posed using the method of penalty functions. The obtained necessary conditions are expressed in the language of subdifferentials, which are a generalization of the method of indefinite Lagrange coefficients for nonsmooth optimization problems.

There were three primary ideological paths followed by the dissident movements in Soviet Armenia that originated in the USSR in the 1960s of the 20th century. In Soviet Armenia, dissent was primarily organized around national issues such as the mention of the Armenian Genocide, the demands for the reunification of Karabakh and Nakhichevan to the motherland, preservation of the Armenian language, restoration of Armenia's independence, and defense of human rights. Objectives and plans of covert groups established in Soviet Armenia bore the ideological imprint of these movements. The fight to restore Armenia's independence was of utmost significance in Soviet Armenia. The purpose of this article is to present the ideological directions of Armenian dissent and their manifestations. In order to realize the goal, the task was set to research and discuss the dissident organizations founded in Soviet Armenia and the individual approaches that integrated all the ideological directions of the Armenian dissident in their programs and activities. Historical and comparative methods were used.  Content analysis of state and personal archival materials, interviews, and memoirs was carried out. It has been established that the dissident manifestations in Soviet Armenia had three key ideological directions, which had different priorities in different periods.

Tigran the Great is one of the most powerful Armenian rulers, whose image was of most interest to Greco-Roman authors and served as a source of inspiration for European cultural figures. Rich evidence of this is the artistic and historical manifestations of the image of this outstanding ruler in European musical art.           The object of research is the image of Tigran the Great.           The purpose of the study is to analyze the comprehensive influence of the image of Tigran the Great in European musical art.           Served as the methodological basis of the research historical-comparative-chronological, descriptive, analytical-comparative, source-scientific (Justin, «Philip's Histories» Book XXXVIII, Francesco Silvani La virtu trionfante dell'amore e dell'odio overo Il Tigrane drama) methods. The study found that European musicians created 41 operas, many of which featured the Armenian king Tigran the Great as the main or participating character. The composers were interested in the historical figure of Tigran the Great, inspired by the materials in the works of Greek-Roman authors. The article specifically presents the presentation of the historical figure of Tigran the Great by the famous composer Antonio Vivaldi, the basis of which is the work "Parallel Biographies" by the historian Plutarch.