NONTRIVIAL SOLUTIONS FOR SYSTEMS OF STURM-LIOUVILLE BOUNDARY VALUE PROBLEMS

被引：9

作者：

Graef, John R. ^{[1
]}

Heidarkhani, Shapour ^{[2
]}

Kong, Lingju ^{[1
]}

机构：

[1] Univ Tennessee, Dept Math, Chattanooga, TN 37403 USA

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

来源：

DIFFERENTIAL EQUATIONS & APPLICATIONS | 2014年 / 6卷 / 02期

关键词：

nontrivial solutions; Sturm-Liouville boundary conditions; critical point theory;

D O I：

10.7153/dea-06-12

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Sufficient conditions are established for the existence of at least one nontrivial classical solution to the boundary value system with Sturm-Liouville boundary conditions. {-(phi(pi)(u'(i)(x)))' = lambda F(ui()x,u(1,)..., u(n))h(l)(u'(l()x)) in (a,b), alpha(i)u(i)(a) - beta(i)u(i)'(a) = 0, gamma(i)u(i)(b) + sigma(i)u(i)'(b) = 0, i = 1,...,n. The analysis is based on variational methods and critical point theory.

引用

页码：255 / 265

页数：11

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