A remark on the stability and boundedness criteria in retarded Volterra integro-differential equations
(2017). A remark on the stability and boundedness criteria in retarded Volterra integro-differential equations. EKB Journal Management System, 25(4), 363-368. doi: 10.1016/j.joems.2017.05.001
. "A remark on the stability and boundedness criteria in retarded Volterra integro-differential equations". EKB Journal Management System, 25, 4, 2017, 363-368. doi: 10.1016/j.joems.2017.05.001
(2017). 'A remark on the stability and boundedness criteria in retarded Volterra integro-differential equations', EKB Journal Management System, 25(4), pp. 363-368. doi: 10.1016/j.joems.2017.05.001
A remark on the stability and boundedness criteria in retarded Volterra integro-differential equations. EKB Journal Management System, 2017; 25(4): 363-368. doi: 10.1016/j.joems.2017.05.001

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, Pages 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.
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