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- Title
Positive Solutions for Nonlinear Differential Equations with Periodic Boundary Condition.
- Authors
Li, Shengjun; Liang, Li; Xiu, Zonghu
- 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.
- Subjects
NONLINEAR differential equations; BOUNDARY value problems; EXISTENCE theorems; MATHEMATICAL singularities; MATHEMATICAL proofs; GENERALIZATION; APPLIED mathematics
- Publication
Journal of Applied Mathematics, 2012, p1
- ISSN
1110-757X
- Publication type
Article
- DOI
10.1155/2012/528719