Stability Criteria for Volterra Equations

DOI10.2307/1999376zbMath0522.45006OpenAlexW4239300412MaRDI QIDQ3672463

Wadi Elias Mahfoud, Theodore Allen Burton

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/1999376

zbMATH Keywords

stability criteriaLyapunov functionalssystemVolterra equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Stability theory for integral equations (45M10)

Related Items (27)

A note on the qualitative behaviors of non-linear Volterra integro-differential equation ⋮ New stability and boundedness results to Volterra integro-differential equations with delay ⋮ Rate of decay of solutions of Volterra equations ⋮ Stability criteria for Volterra integrodynamic system ⋮ \(p\)th mean integrability and almost sure asymptotic stability of solutions of Itô-Volterra equations ⋮ Unnamed Item ⋮ On uniform asymptotic stability of nonlinear Volterra integro-differential equations ⋮ Asymptotic behavior of Volterra integrodifferential equations ⋮ Estimates for periodic solutions of differential equations ⋮ Stability of nonlinear analytic integrodifferential equations ⋮ A remark on the stability and boundedness criteria in retarded Volterra integro-differential equations ⋮ Controllability, observability, and stability of a Volterra integro-dynamic system on time scales ⋮ On the non-exponential convergence of asymptotically stable solutions of linear scalar Volterra integro-differential equations ⋮ New results on exponential stability of nonlinear Volterra integro-differential equations with constant time-lag ⋮ New stability criteria for linear Volterra time-varying integro-differential equations ⋮ Asymptotic stability properties of volterra integro- differential equations ⋮ Stability of nonlinear Volterra equations and applications ⋮ A unified approach to stability in integrodifferential equations via Liapunov functions ⋮ New stability criteria for nonlinear Volterra integro-differential equations ⋮ Stability of Volterra integrodifferential systems ⋮ On the characterization of stability concepts of Volterra integro- differential equations ⋮ Stability properties of solutions of linear Volterra integro-differential equations ⋮ Boundedness in infinite delay systems ⋮ On \(\phi_0\)-stability for nonlinear Volterra integrodifferential systems ⋮ Unnamed Item ⋮ Stability by decompositions for Volterra equations ⋮ Liapunov functionals of convolution type

Cites Work

• Unnamed Item
• 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 of a class of integrodifferential systems
• Asymptotic stability properties of linear Volterra integrodifferential equations
• The Asymptotic Behavior of the Solution of a Volterra Equation

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