Multiple solutions for fourth-order boundary value problem

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:314

Article

Pang, CC ; Dong, W ; Wei, ZL

关键词: fixed point index;    Leray-Schauder degree;    fourth-order two point boundary value problem;    multiple solutions;    sign-changing solutions;   

DOI  :  10.1016/j.jmaa.2005.04.008

来源: Elsevier

【 摘 要 】

In this paper, we study the existence and multiplicity of nontrivial solutions for the fourth-order two point boundary value problems. Making use of the theory of fixed point index in cone and Leray-Schauder degree, under general conditions on nonlinearity, we prove that there exist at least six different nontrivial solutions for the fourth-order two point boundary value problems. Furthermore, if the nonlinearity is odd, we obtain that there exist at least eight different nontrivial solutions. (c) 2005 Elsevier Inc. All rights reserved.

【 授权许可】

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