Perturbed Volterra equations

DOI10.1016/0022-0396(82)90089-4zbMath0501.45009OpenAlexW1980148494MaRDI QIDQ1172235

Theodore Allen Burton

Publication date: 1982

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(82)90089-4

zbMATH Keywords

stabilitysystemsasymptotic behaviorboundednessnonlinear Volterra integrodifferential equationsLjapunov functional technique

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 (5)

Rate of decay of solutions of Volterra equations ⋮ Stability properties and integrability of the resolvent of linear Volterra equations ⋮ Asymptotic behavior of Volterra integrodifferential equations ⋮ Matrix algebra criteria and sufficient conditions for asymptotic stability and boundedness with probability 1 of the solutions of a system of linear stationary integrodifferential stochastic Itô equations ⋮ Long time behavior for a nonlinear fractional model

Cites Work

• Unnamed Item
• Existence and stability of solutions of a delay-differential system
• Stability theory for Volterra equations
• Uniform stabilities for Volterra equations
• Stability properties of Volterra integrodifferential equations
• Asymptotic stability of a class of integro-differential equations
• Asymptotic stability properties of linear Volterra integrodifferential equations
• Perturbation theory for Volterra integrodifferential systems
• An Integrodifferential Equation

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