Stability of nonlinear Volterra equations and applications

Pham Huu Anh Ngoc and Tran The Anh

Applied Mathematics and Computation, 2019, vol. 341, issue C, 1-14

Abstract: General nonlinear Volterra integro-differential equations are considered. Explicit criteria for uniform asymptotic stability and exponential stability of such equations are given. Applications to models of growth of biological populations and of grazing systems are presented.

Keywords: Nonlinear Volterra integro-differential equation; Uniform asymptotic stability; Exponential stability (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:341:y:2019:i:c:p:1-14

DOI: 10.1016/j.amc.2018.07.027

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