Periodic solutions of nonlinear integral equations

DOI10.1007/BF01761466zbMath0651.45002MaRDI QIDQ1106423

S. H. Smith

Publication date: 1988

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

periodic solutionsboundednesssystemcontinuous dependenceHorn's fixed point theorem

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Volterra integral equations (45D05) Qualitative behavior of solutions to integral equations (45M99)

Related Items (3)

Existence of periodic solutions to integro-differential equations of neutral type via limiting equations ⋮ On almost automorphic type solutions of abstract integral equations, a Bohr-Neugebauer type property and some applications ⋮ On the global attractivity periodicity and oscilation of a single neuron mondel

Cites Work

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• On positive, nonincreasing resolvents of Volterra equations
• Stability and periodic solutions of ordinary and functional differential equations
• On the resolvents of Volterra equations with nonincreasing kernels
• Integrability of resolvents of certain Volterra integral equations
• Asymptotic stability and the periodic solutions of \(x(t)+\int^t_{-\infty} a(t-s)g(s,x(s))ds=f(t)\)
• On Volterra integral equations with nonnegative integrable resolvents
• Periodic Solutions of Integrodifferential Equations
• On the response of nonlinear multivariable interconnected feedback systems to periodic input signals
• On the Asymptotic Behavior of Resolvents of Volterra Equations
• Some Fixed Point Theorems for Compact Maps and Flows in Banach Spaces

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