A unified approach to stability in integrodifferential equations via Liapunov functions

DOI10.1016/0022-247X(89)90349-1zbMath0689.45016MaRDI QIDQ581800

Seenith Sivasundaram, Saber N. Elaydi

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

nonlinear systemsintegrodifferential systemsuniform asymptotic stabilitylinear nonautonomous systemsLiapunov functionsnonlinearly perturbed nonlinear systemsuniform Lipschitz stability

Mathematics Subject Classification ID

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

Related Items

Stability analysis of nonautonomous difference systems with delaying arguments, On uniform asymptotic stability of nonlinear Volterra integro-differential equations, Stability of nonlinear analytic integrodifferential equations, Stability of a system of Volterra integro-differential equations, Continuous dependence for integrodifferential equations with infinite delay, Errata: Coefficient-parameter polynomial continuation, Stability of nonlinear Volterra equations and applications, Reliability of difference analogues to preserve stability properties of stochastic Volterra integro-differential equations, New stability criteria for nonlinear Volterra integro-differential equations, On \(\phi_0\)-stability for nonlinear Volterra integrodifferential systems

Cites Work

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• Perturbation theory for Volterra integrodifferential systems
• Stability Criteria for Volterra Equations
• Asymptotic Behavior of Solutions of Volterra Integro-Differential Equations
• Volterra integral and differential equations