Singularly perturbed higher order periodic boundary value problems.

DOI10.1016/j.jmaa.2003.09.070zbMath1070.34035OpenAlexW2040374921MaRDI QIDQ1425140

Pierpaolo Omari, Franic Ikechukwu Njoku

Publication date: 15 March 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2003.09.070

zbMATH Keywords

periodic solutioncoincidence degreesingular problem\(n\)th-order differential equation

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items

Existence of positive periodic solutions for higher-order ordinary differential equations ⋮ Odd periodic solutions for 2\(n\)th-order ordinary differential equations ⋮ Nontrivial solutions of a fully fourth-order periodic boundary value problem

Cites Work

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• Periodic solutions of singular Lagrangian systems
• Stability properties of periodic solutions of a Duffing equation in the presence of lower and upper solutions.
• \(T\)-periodic solutions for a second order system with singular nonlinearity
• Periodic solutions of dissipative dynamical systems with singular potentials
• On forced nonlinear oscillations in nth order differential systems with geometric conditions
• On forced dynamical systems with a singularity of repulsive type
• Asymptotic Conditions for Periodic Solutions of Ordinary Differential Equations
• Conservative Dynamical Systems Involving Strong Forces
• On Periodic Solutions of Nonlinear Differential Equations with Singularities
• Periodic solutions for a conservative system of differential equations with a singularity of repulsive type
• Existence of solutions for first order singular problems
• Periodic solutions for differential systems of cyclic feedback type