Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4623158 | Journal of Mathematical Analysis and Applications | 2007 | 12 Pages |
Abstract
The singular two-point boundary value problem−u″(t)=h(t)f(u(t)),t∈(0,1);u(0)=u(1)=0 is considered under some conditions concerning the first eigenvalue corresponding to the relevant linear problem, where h is allowed to be singular at both t=0t=0 and t=1t=1. Moreover, f:(−∞,+∞)→(−∞,+∞) is a sign-changing function and not necessarily bounded from below. By computing the topological degree of an completely continuous field, the existence results of nontrivial solutions are established.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Guodong Han, Ying Wu,