Some global results for nonlinear fourth order eigenvalue problems

被引：27

作者：

Aliyev, Ziyatkhan S. ^{[1
,2
]}

机构：

[1] Baku State Univ, Dept Math Anal, Baku AZ1148, Azerbaijan

[2] NAS Azerbaijan, Inst Math & Mech, Baku AZ1141, Azerbaijan

来源：

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2014年 / 12卷 / 12期

关键词：

Fourth order eigenvalue problem; Spectral parameter in the boundary condition; Bifurcation point; Global continua; Nodal properties of solutions; BOUNDARY-VALUE-PROBLEMS; STURM-LIOUVILLE PROBLEMS; POSITIVE SOLUTIONS; DIFFERENTIAL-EQUATIONS; PRUFER TRANSFORMATION; SPECTRAL PARAMETER; NODAL SOLUTIONS; VIBRATING BEAM; BIFURCATION;

D O I：

10.2478/s11533-014-0416-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the nonlinear fourth order eigenvalue problem. We show the existence of family of unbounded continua of nontrivial solutions bifurcating from the line of trivial solutions. These global continua have properties similar to those found in Rabinowitz and Berestycki well-known global bifurcation theorems.

引用

页码：1811 / 1828

页数：18

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