Positive Solutions for Nonlinear Differential Equations with Periodic Boundary Condition

Shengjun Li, Li Liang and Zonghu Xiu

Journal of Applied Mathematics, 2012, vol. 2012, issue 1

Abstract: We study the existence of positive solutions for second‐order nonlinear differential equations with nonseparated boundary conditions. Our nonlinearity may be singular in its dependent variable. The proof of the main result relies on a nonlinear alternative principle of Leray‐Schauder. Recent results in the literature are generalized and significantly improved.

Date: 2012
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https://doi.org/10.1155/2012/528719

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2012:y:2012:i:1:n:528719

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