Existence of solutions to a class of nonlinear second order two-point boundary value problems

被引：35

作者：

Li, FY ^{[1
]}

Liang, ZP

Zhang, Q

机构：

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

[2] Xinzhou Teachers Univ, Dept Math, Xinzhou 034000, Shanxi, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2005年 / 312卷 / 01期

关键词：

two-point boundary value problem; strongly monotone operator principle; critical point theory; PS condition; mountain pass lemma;

D O I：

10.1016/j.jmaa.2005.03.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the existence and multiplicity results of solutions are obtained for the second order two-point boundary value problem -u"(t) = f (t, u(t)) for all t E [0, 11 subject to u(0) = u'(1) = 0, where f is continuous. The monotone operator theory and critical point theory are employed to discuss this problem, respectively. In argument, quadratic root operator and its properties play an important role. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：357 / 373

页数：17

共 16 条

[1]

[Anonymous], 1996, VARIATIONAL METHODS, DOI DOI 10.1007/978-3-662-03212-1

[2] General Lidstone problems: Multiplicity and symmetry of solutions [J].