Dependence of the unique solution of a periodic boundary value problem on the parameter

DOI10.1016/J.AMC.2011.02.110zbMath1228.34030OpenAlexW1996315541MaRDI QIDQ544091

Hamid Bellout, Min Wang, Qing Kai Kong

Publication date: 14 June 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.02.110

zbMATH Keywords

implicit function theoremperiodic boundary value problemdependence of solution on parameteruniqueness of positive solution

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Parameter dependent boundary value problems for ordinary differential equations (34B08)

Related Items (2)

Fractional boundary value problems with integral boundary conditions ⋮ Uniqueness of positive solutions of fractional boundary value problems with non-homogeneous integral boundary conditions

Cites Work

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• Existence of positive periodic solutions to nonlinear second order differential equations
• Existence, multiplicity, and dependence on a parameter for a periodic boundary value problem
• On existence and multiplicity of positive solutions to periodic boundary value problems for singular nonlinear second order differential equations
• Existence of nontrivial periodic solutions for a nonlinear second order periodic boundary value problem
• Positive solutions of nonlinear second-order periodic boundary value problems
• Positive solutions of even order system periodic boundary value problems
• Eigenvalue Approach to Even Order System Periodic Boundary Value Problems
• On the existence of positive solutions for nonlinear differential equations with periodic boundary conditions

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