Multiplicity results for a class of fourth order semipositone m-point boundary value problems

被引：9

作者：

Liu, Yansheng ^{[1
]}

O'Regan, Donal ^{[2
]}

机构：

[1] Shandong Normal Univ, Dept Math, Jinan 250014, Peoples R China

[2] Natl Univ Ireland, Dept Math, Galway, Ireland

来源：

APPLICABLE ANALYSIS | 2012年 / 91卷 / 05期

关键词：

bifurcation technique; global behaviour; m-point boundary value problems; bifurcation point; NODAL SOLUTIONS; POSITIVE SOLUTIONS; 2ND-ORDER; BIFURCATION; EXISTENCE;

D O I：

10.1080/00036811.2011.556623

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using bifurcation techniques, we investigate the existence of multiple solutions for a class of fourth order semipositone m-point boundary value problems. Our results improve those in the literature.

引用

页码：911 / 921

页数：11

共 20 条

[11] Existence of solutions of nonlinear m-point boundary-value problems [J].

Ma, RY ;

Castaneda, N .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 256 (02) :556-567

[12]

Rabinowitz P.H., 1971, J. Funct. Anal., V7, P487, DOI 10.1016/0022-1236(71)90030-9

[13] BIFURCATION FROM INFINITY [J].

RABINOWITZ, PH .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1973, 14 (03) :462-475

[14] Spectral properties and nodal solutions for second-order, m-point, boundary value problems [J].

Rynne, Bryan P. .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (12) :3318-3327

[15] Nodal solutions for m-point boundary value problems using bifurcation methods [J].

Sun Jingxian ;

Xian, Xu ;

O'Regan, Donal .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (10) :3034-3046

[16]

Webb JRL, 2008, P ROY SOC EDINB A, V138, P427

[17] Positive solutions of some three point boundary value problems via fixed point index theory [J].

Webb, JRL .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (07) :4319-4332

[18] Multiple sign-changing solutions for fourth order m-point boundary value problems [J].

Wei, Zhongli ;

Pang, Changci .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (04) :839-855

[19]

Xu X., 2004, ELECTRON J DIFFER EQ, V2004, P1

[20] Positive solutions of m-point boundary value problems [J].

Zhang, GW ;

Sun, JX .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 291 (02) :406-418

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