"Existence to singular boundary value problems with sign changing nonli" by Haishen Lu, Donal O'Regan et al.
 

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

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