Asymptotic stability and the periodic solutions of \(x(t)+\int^t_{-\infty} a(t-s)g(s,x(s))ds=f(t)\)

DOI10.1016/0022-247X(78)90257-3zbMath0405.45002MaRDI QIDQ1257188

Victor J. Mizel, Marshall J. Leitman

Publication date: 1978

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

zbMATH Keywords

Asymptotic StabilityNonlinear Volterra EquationEvolutionary TypeExistence of Periodic PhenomenaNonlinear Integral Equation

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Asymptotics of solutions to integral equations (45M05) Stability theory for integral equations (45M10)

Related Items

Periodic solutions of nonlinear integral equations, Periodic solutions of nonlinear integral equations with infinite memory, On infinite delay integral equations having nonlinear perturbations, Equations with unbounded delay: a survey, On linear singular Volterra integral equations of the second kind, Oscillations of Volterra integral equations with delay

Cites Work

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• Nonlinear integral equations and systems of Hammerstein type
• Hereditary laws and nonlinear integral equations on the line
• On the asymptotic behavior of the bounded solutions of some integral equations. I, II, III
• Limits of solutions of nonlinear volterra equations
• REMARKS ON A VOLTERRA EQUATION**This research was supported by the U. S. Army Research Office, Durham.
• Asymptotic behavior of solutions of nonlinear Volterra equations
• On a nonlinear Volterra equation
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