A Direct Lyapunov Approach to Volterra Integrodifferential Equations

DOI10.1137/0519061zbMath0651.45003OpenAlexW2036109103MaRDI QIDQ3796174

Olof J. Staffans

Publication date: 1988

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0519061

zbMATH Keywords

Lyapunov functionLyapunov methodVolterra integrodifferential equations

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Stability theory for integral equations (45M10) Volterra integral equations (45D05)

Related Items (9)

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 ⋮ A remark on the stability and boundedness criteria in retarded Volterra integro-differential equations ⋮ 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 ⋮ An application of Lyapunov-Razumikhin method to behaviors of Volterra integro-differential equations ⋮ Stability analysis of a class of integral equations with not necessarily differentiable solutions ⋮ Structure-Preserving Model Reduction for Integro-Differential Equations ⋮ Unnamed Item

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