Stability of nonlinear Volterra equations and applications

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摘要

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.

论文关键词:Nonlinear Volterra integro-differential equation,Uniform asymptotic stability,Exponential stability

论文评审过程:Received 4 December 2017, Revised 8 December 2017, Accepted 8 July 2018, Available online 19 September 2018, Version of Record 19 September 2018.

论文官网地址:https://doi.org/10.1016/j.amc.2018.07.027