Sign-changing solutions on a kind of fourth-order Neumann boundary value problem

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:344

Article

Li, Fuyi¹  Zhang, Yanbiao¹  Li, Yuhua¹ 

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Peoples R China

关键词: sign-changing solution;    Neumann boundary value problem;    fixed point index;    critical group;   

DOI  :  10.1016/j.jmaa.2008.02.050

来源: Elsevier

【 摘 要 】

In this paper, we consider the fourth-order Neumann boundary value problem u(4)(t) - 2u ''(t) + u(t) = f(t, u(t)) for all t epsilon [0, 1] and subject to u'(0) = u'(1) = u'''(0) = u'''(1) = 0. Using the fixed point index and the critical group, we establish the existence theorem of solutions that guarantees the problem has at least one positive solution and two sign-changing solutions under certain conditions. (c) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

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