Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4623025 | Journal of Mathematical Analysis and Applications | 2007 | 18 Pages |
Abstract
In this paper, the three-point boundary value problem−u″(t)=f(t,u(t)),0⩽t⩽1,u′(0)=0,u(1)=αu(η), and its conjugate boundary value problem−v″(s)=f(s,v(s)),0⩽s⩽1,s≠η,v′(0)=0,v+′(η)−v−′(η)=αv′(1),v(1)=0, are studied under some conditions concerning the same first eigenvalue of the both linear problems. By applying the fixed point index theory, the coexistence of single and multiple positive solutions of the above mentioned problems is verified. As an application, some examples are given to illustrate our results.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Shuli Wang, Jinsheng Liu,