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- Title
Existence of Positive Solutions for Neumann Boundary Value Problem with a Variable Coefficient.
- Authors
Dongming Yan; Qiang Zhang; Zhigang Pan
- Abstract
We consider the existence of positive solutions for the Neumann boundary value problem x″″(t)+m2(t)x(t)=f(t,x(t))+e(t),t∈(0,1),x′(0)=0,x′(1)=0, where m∈C([0,1],(0,+∞)),e∈C[0,1], and f:[0,1]×(0,+∞)→[0,+∞) is continuous. The theorem obtained is very general and complements previous known results.
- Subjects
NEUMANN problem; BOUNDARY value problems; DIFFERENTIAL equations; GREEN'S functions; INTEGRAL equations; FUNCTIONAL equations
- Publication
International Journal of Differential Equations, 2011, p1
- ISSN
1687-9643
- Publication type
Article
- DOI
10.1155/2011/376753