Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844101 | Nonlinear Analysis: Theory, Methods & Applications | 2008 | 8 Pages |
Abstract
By constructing a particular closed convex set and applying the Mönch fixed-point theorem, we study the existence of positive solutions of the singular boundary value problem xâ³(t)+f(t,x(t))=θ,tâ(0,1),x(0)=x(1)=θ, in Banach space, singularities occurring at t=0,1, and x=θ. Our method is completely distinct from what the former literature used, even if we discuss the above problem in scalar space.
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Authors
Yujun Cui, Yumei Zou,