Article ID Journal Published Year Pages File Type
4623158 Journal of Mathematical Analysis and Applications 2007 12 Pages PDF
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
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