Abstract
In this paper, we are concerned with the oscillation of solutions to a class of third-order nonlinear neutral dynamic equations on time scales. New oscillation criteria are presented by employing the Riccati transformation and integral averaging technique. Two examples are shown to illustrate the conclusions.
Highlights
We investigate the oscillation of solutions to a class of third-order halflinear dynamic equations with a nonpositive neutral coefficient
Therein, Džurina et al [3] and Santra et al [6] studied the oscillation of half-linear/Emden–Fowler delay differential equations with a sublinear neutral term, whereas the papers [1,4,5] were concerned with the asymptotics and oscillation of solutions to (1) and its modifications in the continuous case (i.e., T = R)
Data Availability Statement: Data sharing not applicable to this paper as no datasets were generated or analyzed during the current study
Summary
We investigate the oscillation of solutions to a class of third-order halflinear dynamic equations with a nonpositive neutral coefficient. Therein, Džurina et al [3] and Santra et al [6] studied the oscillation of half-linear/Emden–Fowler delay differential equations with a sublinear neutral term, whereas the papers [1,4,5] were concerned with the asymptotics and oscillation of solutions to (1) and its modifications in the continuous case (i.e., T = R). There has been much attention to the study of oscillation of various classes of dynamic equations on time scales; see, for instance, the papers [13,14,15,16] concerning the analyses of. Two examples are presented to show the significance of the conclusions
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
