Infinitely Many Solutions for Systems of Sturm-Liouville Boundary Value Problems

被引：20

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：

RESULTS IN MATHEMATICS | 2014年 / 66卷 / 3-4期

关键词：

Infinitely many solutions; Sturm-Liouville boundary conditions; multiplicity results; critical point theory; DIMENSIONAL P-LAPLACIAN; POSITIVE SOLUTIONS; MULTIPLE SOLUTIONS;

D O I：

10.1007/s00025-014-0379-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the authors obtain the existence of infinitely many classical solutions to the boundary value system with Sturm-Liouville boundary conditions { -(phi(pi)(u(i)'))' = lambda F-ui(x, u(1), ... , u(n))h(i)(u(i)') in (a, b), a(i)'u(i)(a) - beta(i)u(i)'(a) = 0, gamma(i)u(i)(b) + sigma(i)u(i)'(b) = 0, i = 1, ... , n. Critical point theory and Ricceri's variational principle are used in the proofs.

引用

页码：327 / 341

页数：15

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