Document Type
Article
Publication Title
Applications of Mathematics
Abstract
This paper studies the existence of solutions to the singular boundary value problem {−u′′=g(t,u)+(h,u),t∈(0,1),u(0)=0=u(1), {−u″=g(t,u)+(h,u),t∈(0,1),u(0)=0=u(1), , where g: (0, 1) × (0, ∞) → ℝ and h: (0, 1) × [0, ∞) → [0, ∞) are continuous. So our nonlinearity may be singular at t = 0, 1 and u = 0 and, moreover, may change sign. The approach is based on an approximation method together with the theory of upper and lower solutions.
First Page
117
Last Page
135
DOI
10.1007/s10492-007-0006-5
Publication Date
4-2007
Recommended Citation
Lü, H., O'Regan, D., & Agarwal, R. P. (2007). Existence to singular boundary value problems with sign changing nonlinearities using an approximation method approach. Applications of Mathematics, 52(2), 117-135.