Positive Solutions for Nonlinear Differential Equations with Periodic Boundary Condition

Shengjun Li, Li Liang and Zonghu Xiu

Journal of Applied Mathematics, 2012, vol. 2012, 1-13

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:528719

DOI: 10.1155/2012/528719

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