A positive solution for singular discrete boundary value problems with sign-changing nonlinearities

Authors

Haishen Lü
Donal O'Regan
Ravi P. Agarwal

Document Type

Article

Publication Title

Journal of Applied Mathematics and Stochastic Analysis

Abstract

This paper presents new existence results for the singular discrete boundary value problem - Δ²u(k - 1) = g(k, u(k)) + λh(k,u(k)), k ∈ [1,T], u(0) = 0 = u(T + 1). In particular, our nonlinearity may be singular in its dependent variable and is allowed to change sign.

DOI

10.1155/JAMSA.2006.46287

Publication Date

2006

Recommended Citation

Lü, H., O'Regan, D., & Agarwal, R. P. (2006). A positive solution for singular discrete boundary value problems with sign-changing nonlinearities. Journal of Applied Mathematics and Stochastic Analysis, 2006 doi:10.1155/JAMSA.2006.46287