On asymptotically stability, uniformly stability and boundedness of solutions of nonlinear Volterra integro-differential equations

UDC 517.9 In this paper, two new Lyapunov functionals are defined. We apply these functionals to get sufficient conditions guaranteeing the asymptotic stability, uniform stability, and boundedness of solutions of certain nonlinear Volterra integro-differential equations of the first order. The resul...

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Bibliographic Details
Date:2020
Main Authors: Tunç, C., Mohammed , S. A.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2020
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/6037
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal