Construction of Ljapunov functionals for Volterra equations

DOI10.1016/0022-247X(82)90027-0zbMath0508.45009MaRDI QIDQ1837877

Theodore Allen Burton

Publication date: 1982

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

zbMATH Keywords

boundednessVolterraLjapunov functionals

Mathematics Subject Classification ID

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

Related Items (9)

New stability and boundedness results to Volterra integro-differential equations with delay ⋮ Rate of decay of solutions of Volterra 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 ⋮ A remark on the stability and boundedness criteria in retarded Volterra integro-differential equations ⋮ Stability of a system of 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 ⋮ Local theory for retarded equations with infinite delay^∗ ⋮ On the existence of periodic solutions of functional differential equations

Cites Work

• Existence and stability of solutions of a delay-differential system
• Stability theory for Volterra equations
• A non-linear Volterra equation not of convolution type
• An Integrodifferential Equation

This page was built for publication: Construction of Ljapunov functionals for Volterra equations