Asymptotic stability properties of volterra integro- differential equations

DOI10.1016/0362-546X(87)90065-4zbMath0625.45017OpenAlexW2049786061MaRDI QIDQ3027627

V. Raghavendra, M. Rama Mohana Rao

Publication date: 1987

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(87)90065-4

zbMATH Keywords

asymptotic stabilityexamplenonlinear perturbationequivalent systemdifferential resolventnon-autonomous linear Volterra integro-differential system

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Other nonlinear integral equations (45G10) Asymptotics of solutions to integral equations (45M05) Stability theory for integral equations (45M10)

Related Items (6)

A remark on the stability and boundedness criteria in retarded Volterra integro-differential equations ⋮ New results on exponential stability of nonlinear Volterra integro-differential equations with constant time-lag ⋮ An application of Lyapunov-Razumikhin method to behaviors of Volterra integro-differential equations ⋮ Uniformly Boundedness in Nonlinear Volterra Integro-Differential Equations with Delay ⋮ Qualitative analysis of integro-differential equations with variable retardation ⋮ Stochastic Volterra integro-differential equations driven by a fractional Brownian motion with delayed impulses

Cites Work

• Unnamed Item
• Existence and stability of solutions of a delay-differential system
• Stability theory for Volterra equations
• Asymptotic stability of a class of integro-differential equations
• Asymptotic stability properties of linear Volterra integrodifferential equations
• Perturbation theory for Volterra integrodifferential systems
• Stability Criteria for Volterra Equations
• Asymptotic Behavior of Solutions of Volterra Integro-Differential Equations
• The Asymptotic Behavior of the Solution of a Volterra Equation

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