Nontrivial solutions on a kind of fourth-order Neumann boundary value problems

被引：3
作者：
Yang, Yang [1 ]
Zhang, Jihui [2 ]
机构：
[1] Jiangnan Univ, Sch Sci, Wuxi, Peoples R China
[2] Nanjing Normal Univ, Inst Math, Sch Math Sci, Nanjing, Jiangsu, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 13期
关键词：
Neumann boundary value problem; Critical groups; Lyapunov-Schmidt reduction; ELLIPTIC RESONANT PROBLEMS; POSITIVE SOLUTIONS; BEAM EQUATIONS; MULTIPLE SOLUTIONS; EXISTENCE; PARAMETERS; REDUCTION;
D O I：
10.1016/j.amc.2011.12.072
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Nontrivial solutions for the fourth-order Neumann boundary value problem u((4))(t) - 2u ''(t) + u(t) = f(t, u(t)) for all t is an element of (0, 1) and subject to u'(0) = u'(1) = u'''(0) = u'''(1) = 0 are obtained via Morse theory. To compute the critical groups at infinity of the relevant functional, we propose an approach by combining the homotopy and reduction methods. (C) 2011 Elsevier Inc. All rights reserved.
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页码：7100 / 7108
页数：9
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