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Existence of Positive Solutions for a Third-Order Multi-Point Boundary Value Problem
Laboratory of Advanced Materials, Faculty of Sciences, University Badji Mokhtar-Annaba, Annaba, Algerie
Université 8 mai 1945 Guelma, Guelma, Algerie
- 1 Laboratory of Advanced Materials, Faculty of Sciences, University Badji Mokhtar-Annaba, Annaba, Algerie
- 2 Université 8 mai 1945 Guelma, Guelma, Algerie
Applied Mathematics·Volume 03 (2012)·Pages 1008–1013·Published 27 September 2012·DOI10.4236/am.2012.39149
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Abstract
By using Leray-Schauder nonlinear alternative, Banach contraction theorem and Guo-Krasnosel’skii theorem, we discuss the existence, uniqueness and positivity of solution to the third-order multi-point nonhomogeneous boundary value problem (BVP1): where for The interesting point lies in the fact that the nonlinear term is allowed to depend on the first order derivative .
KeywordsGuo’s Fixed Point TheoremThree Point Boundary Value ProblemPositive SolutionLeray Schauder Non-Linear AlternativeContraction Principle
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