Existence of a periodic solution for~continuous and discrete periodic second-order equations with variable potentials

DOI10.1007/s12190-010-0435-2zbMath1368.34053OpenAlexW1974664084MaRDI QIDQ2251738

Douglas R. Anderson, Richard I. Avery

Publication date: 15 July 2014

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-010-0435-2

zbMATH Keywords

fixed pointsboundary value problemsdifference equationsdifferential equationsRiccati equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Green's functions for ordinary differential equations (34B27) Applications of operator theory to differential and integral equations (47N20) Additive difference equations (39A10) Periodic solutions of difference equations (39A23)

Related Items (4)

Positive periodic solutions for singular higher order delay differential equations ⋮ Existence of positive periodic solutions for higher-order ordinary differential equations ⋮ Periodic solutions for periodic second-order differential equations with variable potentials ⋮ Existence of periodic solutions for a class of second order ordinary differential equations

Cites Work

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• Multiple periodic solutions for a second-order problem on periodic time scales
• Existence, multiplicity, and dependence on a parameter for a periodic boundary value problem
• Positive periodic solutions for nonlinear difference equations with periodic coefficients
• Existence of one-signed periodic solutions of some second-order differential equations via a Krasnoselskii fixed point theorem
• Existence and uniqueness results for discrete second-order periodic boundary value problems
• Periodic solutions of second order non-autonomous singular dynamical systems
• THREE POSITIVE PERIODIC SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS WITH PERIODIC COEFFICIENTS
• Periodic solutions of some second order difference equations
• PERIODIC SOLUTIONS OF SECOND ORDER SELF-ADJOINT DIFFERENCE EQUATIONS
• Criteria for Existence and Nonexistence of Positive Solutions to a Discrete Periodic Boundary Value Problem

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