Title

Existence theory for single and multiple solutions to semipositone discrete dirichlet boundary value problems with singular dependent nonlinearities

Authors

Daqing Jiang
Lili Zhang
Donal O'Regan
Ravi P. Agarwal

Document Type

Article

Publication Title

Journal of Applied Mathematics and Stochastic Analysis

Abstract

In this paper we establish the existence of single and multiple solutions to the semipositone discrete Dirichlet boundary value problem {Δ²y(i - 1) + μf(i, y(i)) = 0, i ∈ {1, 2, ..., T} y(0) = y(T + 1) = 0, where μ > 0 is a constant and our nonlinear term f(i, u) may be singular at u = 0.

First Page

19

Last Page

31

DOI

10.1155/S1048953303000029

Publication Date

2003

Recommended Citation

Daqing Jiang, Lili Zhang, Donal O'Regan, and Ravi P. Agarwal, “Existence theory for single and multiple solutions to semipositone discrete Dirichlet boundary value problems with singular dependent nonlinearities,” Journal of Applied Mathematics and Stochastic Analysis, vol. 16, no. 1, pp. 19-31, 2003. doi:10.1155/S1048953303000029