|
|||||
|
|
Positive solutions to singular semipositone boundary value problems of second order coupled differential systems |
|
| Authors: | Zhongwei Cao Yue Lv Daqing Jiang Li Zu |
| Institution: | 1. Department of Applied Mathematics, Jilin University of Finance and Economics, Changchun, 130117, P.R. China 2. School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, P.R. China 3. School of Mathematics, Jilin University, Changchun, 130012, P.R. China 4. College of Science, Changchun University, Changchun, 130022, P.R. China |
| Abstract: | We establish the existence of positive solutions for the second order singular semipositone coupled Dirichlet systems $$\left\{ \begin{aligned} &x{''} +f_1 \bigl(t,y(t)\bigr)+e_1(t)=0, \\ &y{''} +f_2\bigl(t,x(t) \bigr)+e_2(t)=0, \\ &x(0)=x(1)=0,\qquad y(0)=y(1)=0. \end{aligned} \right. $$ The proof relies on Schauder’s fixed point theorem. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |