Existence of symmetric positive solutions for a singular system with coupled integral boundary conditions

• Main Authors: Jiqiang Jiang, Lishan Liu, Yonghong Wu
• Format: Article
• Language: English
• Published: University of Szeged 2018-12-01
• Series: Electronic Journal of Qualitative Theory of Differential Equations
• Subjects: coupled singular system; symmetric positive solutions; fixed point theorem in cones; coupled integral boundary conditions
• Online Access: http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6858
• ISSN: 1417-3875; 1417-3875

In this paper, we study a class of nonlinear singular system with coupled integral boundary condition. Based on the Guo–Krasnosel'skii fixed point theorem, some new results on the existence of symmetric positive solutions for the coupled singular system are obtained. The impact of the two different parameters on the existence of symmetric positive solutions is also investigated. Finally, an example is then given to demonstrate the applicability of our results.