Nontrivial solutions for higher order multi-point boundary value problems
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Authors
Zhang, Xinguang
Liu, L.
Date
2008Type
Journal Article
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Zhang, X. and Liu, L. 2008. Nontrivial solutions for higher order multi-point boundary value problems. Computers and Mathematics with Applications. 56: pp. 861-873.
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Computers and Mathematics with Applications
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Collection
Abstract
In the case where a nonlinearity may change sign and contains higher derivatives, we consider the existence of nontrivial solutions for a class of higher order multi-point boundary value problems. Some sufficient conditions for the existence of nontrivial solutions are established under certain suitable growth conditions, our proof is based on Leray–Schauder nonlinear alternative.
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