Stability of perturbed Volterra integral equations

DOI10.1016/0022-247X(75)90026-8zbMath0301.45015MaRDI QIDQ1215777

Jim M. Cushing

Publication date: 1975

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

Mathematics Subject Classification ID

Asymptotics of solutions to integral equations (45M05) Stability theory for integral equations (45M10) Volterra integral equations (45D05)

Related Items (6)

Volterra integral equations ⋮ Existence and stability of nontrivial periodic solutions of periodically forced discrete dynamical Systems ⋮ Bounded solutions of perturbed Volterra integrodifferential systems ⋮ A nonlinear variation of constants method for integro differential and integral equations ⋮ On a Perturbed System of Volterra Integral Equations ⋮ Method of integral inequalities in the theory of stability of motion

Cites Work

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• Linear differential equations and functional analysis. I
• Perturbations of Volterra integral equations
• Perturbation theorems for ordinary differential equations
• On a perturbed Volterra integral equation
• On preserving stability of Volterra integral equations under a general class of perturbations
• Some stability theorems for systems of volterra integral equations
• Strong stability of perturbed systems of Volterra integral equations
• Almost-periodic behavior of solutions of a nonlinear Volterra system.
• Eventual Stability for Lipschitz Functional Differential Systems

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