Using topological degree theory with a partially ordered structure of space, sufficient conditions for the existence and multiplicity of positive solutions for a second-order nonlinear periodic boundary-value problem are established. Inspired by ideas in Guo and Lakshmikantham , we study the dependence of positive periodic solutions as a parameter approaches infinity,
Submitted May 22, 2012. Published August 17, 2012.
Math Subject Classifications: 34B18, 34B15.
Key Words: Periodic boundary value problem; fixed point; partially ordered structure; positive solutions.
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| Jingliang Qiu |
School of Applied Science
Beijing InformationScience and Technology University
Beijing, 100192, China
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