A remark on the stability and boundedness criteria in retarded Volterra integro-differential equations | ||||
Journal of the Egyptian Mathematical Society | ||||
Volume 25, Issue 4, 2017, Page 363-368 PDF (695.69 K) | ||||
DOI: 10.1016/j.joems.2017.05.001 | ||||
![]() | ||||
Abstract | ||||
In this article, the authors obtain some clear assumptions for the asymptotic stability (AS) and boundedness (B) of solutions of non-linear retarded Volterra integro-differential equations (VIDEs) of first order by constructing a new Lyapunov functional (LF). The results obtained are new and differ from those found in the literature, and they also contain and improve a result found in the literature under more less restrictive conditions. We establish an example and give a discussion to indicate the applicability of the weaker conditions obtained. We also employ MATLAB-Simulink to display the behaviors of the orbits of the (VIDEs) considered. | ||||
Statistics Article View: 25 PDF Download: 15 |
||||