A remark on the stability and boundedness criteria in retarded Volterra integro-differential equations
http://dx.doi.org/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.
(2017). A remark on the stability and boundedness criteria in retarded Volterra integro-differential equations. Journal of the Egyptian Mathematical Society, 25(4), 363-368. doi: http://dx.doi.org/10.1016/j.joems.2017.05.001
MLA
. "A remark on the stability and boundedness criteria in retarded Volterra integro-differential equations", Journal of the Egyptian Mathematical Society, 25, 4, 2017, 363-368. doi: http://dx.doi.org/10.1016/j.joems.2017.05.001
HARVARD
(2017). 'A remark on the stability and boundedness criteria in retarded Volterra integro-differential equations', Journal of the Egyptian Mathematical Society, 25(4), pp. 363-368. doi: http://dx.doi.org/10.1016/j.joems.2017.05.001
VANCOUVER
A remark on the stability and boundedness criteria in retarded Volterra integro-differential equations. Journal of the Egyptian Mathematical Society, 2017; 25(4): 363-368. doi: http://dx.doi.org/10.1016/j.joems.2017.05.001
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