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2014 Nontrivial Solutions of a Fully Fourth-Order Periodic Boundary Value Problem
Haitong Li, Minghe Pei, Libo Wang
J. Appl. Math. 2014: 1-7 (2014). DOI: 10.1155/2014/895862

Abstract

We investigate the solvability of a fully fourth-order periodic boundary value problem of the form x(4)=f(t,x,x,x,x), x(i)(0)=x(i)(T),     i=0,1,2,3, where f:[0,T]×R4R satisfies Carathéodory conditions. By using the coincidence degree theory, the existence of nontrivial solutions is obtained. Meanwhile, as applications, some examples are given to illustrate our results.

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Haitong Li. Minghe Pei. Libo Wang. "Nontrivial Solutions of a Fully Fourth-Order Periodic Boundary Value Problem." J. Appl. Math. 2014 1 - 7, 2014. https://doi.org/10.1155/2014/895862

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131953
MathSciNet: MR3248927
Digital Object Identifier: 10.1155/2014/895862

Rights: Copyright © 2014 Hindawi

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