Existence of nontrivial periodic solutions for a nonlinear second order periodic boundary value problem

DOI10.1016/j.na.2009.12.014zbMath1190.34049OpenAlexW2083656147MaRDI QIDQ2267559

Bingmei Liu, Li Shan Liu, Yong-Hong Wu

Publication date: 1 March 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.12.014

zbMATH Keywords

fixed pointspectral radiustopological degreenontrivial periodic solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Periodic solutions to ordinary differential equations (34C25) Applications of operator theory to differential and integral equations (47N20)

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Cites Work

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• Existence of nontrivial solutions for a nonlinear Sturm-Liouville problem with integral boundary conditions
• Applications of Schauder's fixed point theorem to singular differential equations
• Existence of nonnegative and nonpositive solutions for second order periodic boundary value problems

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