Nontrivial solutions to boundary value problem with general singular differential operator

被引：0
|
作者：
Jiemei Li
Dongming Yan
机构：
[1] Lanzhou Jiaotong University,Department of Mathematics
[2] Zhejiang University of Finance and Economics,School of Mathematics and Statistics
来源：
Boundary Value Problems | / 2015卷
关键词：
singularities; eigenvalue; topological degree; nontrivial solutions; 34B16;
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学科分类号：
摘要：
In this paper, a class of boundary value problems with general singular differential operator is investigated. The nonlinear term in the boundary value problem is sign-changing and may be unbounded from below. By means of the topological degree of a completely continuous field, the existence of nontrivial solutions is obtained. Finally, an example is given to illustrate the application of our main result.
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