Existence of maximal and minimal periodic solutions for first-order functional differential equations

DOI10.1016/j.aml.2009.08.004zbMath1186.34092OpenAlexW2067806396MaRDI QIDQ1049241

Bao Shi, Gen-Qiang Wang, Shu-Gui Kang

Publication date: 8 January 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2009.08.004

zbMATH Keywords

existencelower and upper solutionsfixed pointmaximal and minimal periodic solutionsfirst-order functional differential equations

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Periodic solutions to functional-differential equations (34K13)

Related Items (13)

Existence and uniqueness of positive periodic solutions for a first-order functional differential equation ⋮ Existence and uniqueness of positive periodic solutions for a class of integral equations with mixed monotone nonlinear terms ⋮ Existence of multiple periodic solutions for first order functional differential equations ⋮ Higher order functional differential systems with parameter dependence ⋮ Positive periodic solutions for first-order neutral functional differential equations with periodic delays ⋮ Periodic solutions for second-order periodic differential equations under scalable control ⋮ Periodic solutions of first order functional differential equations ⋮ Existence of periodic positive solutions for abstract difference equations ⋮ Maximal and minimal nondecreasing bounded solutions of iterative functional differential equations ⋮ POSITIVE PERIODIC SOLUTIONS FOR A NONLINEAR DIFFERENTIAL SYSTEM WITH TWO PARAMETERS ⋮ Existence of positive periodic solutions for \(n\)-dimensional nonautonomous system ⋮ Existence and uniqueness of periodic solutions for a system of differential equations via operator methods ⋮ Continuum branch of one-signed periodic solutions of first-order functional equations involving the nonlinearity with zeros

Cites Work

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• Periodic solutions of a class of integral equations
• Existence of nontrivial periodic solutions for first order functional differential equations
• Counterexamples to the article ``Oscillation and global attractivity in hematopoiesis model with delay time

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