EXISTENCE OF THREE SOLUTIONS OF NON-HOMOGENEOUS BVPS FOR SINGULAR DIFFERENTIAL SYSTEMS WITH LAPLACIAN OPERATORS

- Journal title : Journal of the Chungcheong Mathematical Society
- Volume 29, Issue 2, 2016, pp.187-220
- Publisher : Chungcheong Mathematical Society
- DOI : 10.14403/jcms.2016.29.2.187

Title & Authors

EXISTENCE OF THREE SOLUTIONS OF NON-HOMOGENEOUS BVPS FOR SINGULAR DIFFERENTIAL SYSTEMS WITH LAPLACIAN OPERATORS

Yang, Xiaohui; Liu, Yuji;

Yang, Xiaohui; Liu, Yuji;

Abstract

This paper is concerned with a kind of non-homogeneous boundary value problems for singular second order differential systems with Laplacian operators. Using multiple fixed point theorems, sufficient conditions to guarantee the existence of at least three solutions of this kind of boundary value problems are established. An example is presented to illustrate the main results.

Keywords

differential system;positive solution;fixed point theorem;

Language

English

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