EXISTENCE OF SOLUTIONS FOR A TWO-POINT BOUNDARY-VALUE PROBLEM OF A FOURTH-ORDER STURM-LIOUVILLE TYPE

被引：0

作者：

Heidarkhani, Shapour ^{[1
,2
]}

机构：

[1] Razi Univ, Fac Sci, Dept Math, Kermanshah 67149, Iran

[2] Inst Res Fundamental Sci, Sch Math, Tehran, Iran

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年

关键词：

Fourth-order Sturm-Liouville problem; critical point; multiplicity of solutions; CRITICAL-POINTS THEOREM; POSITIVE SOLUTIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we establish the existence of two intervals for a parameter lambda for which a two-point boundary-value problem of fourth-order Sturm-Liouville type admits three weak solutions whose norms are uniformly bounded with respect to lambda. Employing two three critical point theorems, existence of at least three weak solutions is ensured. This approach is based on variational methods and critical point theory.

引用

页数：15

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