On \(\phi_0\)-stability for nonlinear Volterra integrodifferential systems

DOI10.1016/S0096-3003(98)00015-0zbMath0929.45006OpenAlexW2052765855MaRDI QIDQ1294279

Ahmed A. Soliman

Publication date: 29 June 1999

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(98)00015-0

zbMATH Keywords

uniform stabilityLyapunov functionsasymptotical stabilitynonlinear Volterra integrodifferential systems

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Stability theory for integral equations (45M10) Systems of nonlinear integral equations (45G15)

Cites Work

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• A unified approach to stability in integrodifferential equations via Liapunov functions
• Lipschitz stability of nonlinear systems of differential equations
• Lipschitz stability for nonlinear Volterra integrodifferential systems
• On the \(\phi{}_ 0\)-stability of comparison differential systems
• On Lipschitz stability for nonlinear systems of ordinary differential equations
• Asymptotic stability properties of linear Volterra integrodifferential equations
• Stability Criteria for Volterra Equations
• Cone-valued Lyapunov functions

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