Remarks on the periodic boundary value problems for first-order differential equations

DOI10.1016/S0898-1221(99)00100-5zbMath0936.34013OpenAlexW2021134447MaRDI QIDQ1806488

Jie Chen, Zhuang Wan, Yubo Chen

Publication date: 8 May 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(99)00100-5

zbMATH Keywords

upper and lower solutionsmonotone iterative techniqueperiodic boundary value problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Theoretical approximation of solutions to ordinary differential equations (34A45)

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Monotone method for first- and second-order periodic boundary value problems and periodic solutions of functional differential equations, Periodic boundary value problems for the second order functional differential equations, Monotone iterative technique for first order impulsive difference equations with periodic boundary conditions, Existence of solutions to first-order periodic boundary value problems, Existence of solutions to nonlinear first-order PBVPs on time scales, Waveform relaxation methods for periodic differential--functional systems, Remarks on periodic boundary value problems for functional differential equations., Multiple solutions of periodic boundary value problems for first order differential equations, Boundary value problems for a class of impulsive functional equations, Existence and multiplicity of positive solutions to nonlinear first-order PBVPs on time scales, Twin positive solutions of nonlinear first-order boundary value problems on time scales, Positive solutions for system of first-order dynamic equations, New results for the second order impulsive integro-differential equations with nonlinear boundary conditions, Positive solutions to nonlinear first-order PBVPs with parameter on time scales, Existence and approximation of solutions for nonlinear functional differential equations with periodic boundary value conditions, Differential inequalities for functional perturbations of first-order ordinary differential equations

Cites Work

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• Existence and monotone method for periodic solutions of first-order differential equations
• Remarks on first and second order periodic boundary value problems
• Periodic boundary value problems of first and second order differential equations
• An Abstract Existence Theorem at Resonance