TY - JOUR
T1 - Existence theory for single and multiple solutions to semipositone discrete dirichlet boundary value problems with singular dependent nonlinearities
AU - Jiang, Daqing
AU - Zhang, Lili
AU - O'Regan, Donal
AU - Agarwal, Ravi P.
PY - 2003
Y1 - 2003
N2 - 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.
AB - 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.
KW - Multiple Solutions
KW - Semipositone Problem
KW - Singular Discrete Boundary Value Problem
KW - Upper and Lower Solutions Method
UR - https://www.scopus.com/pages/publications/55449126882
U2 - 10.1155/S1048953303000029
DO - 10.1155/S1048953303000029
M3 - Article
AN - SCOPUS:55449126882
SN - 1048-9533
VL - 16
SP - 19
EP - 31
JO - Journal of Applied Mathematics and Stochastic Analysis
JF - Journal of Applied Mathematics and Stochastic Analysis
IS - 1
ER -