Journal of Applied Analysis 11 (2005), No. 1, 035--047
Copyright Heldermann Verlag 2005
Generalized Upper and Lower Solution Method for Singular Discrete Boundary Value Problems for the One-Dimensional p-Laplacian
Daqing Jiang
Department of Mathematics, Northeast Normal University, Changchun 130024, P. R. China
Donal O'Regan
Department of Mathematics, National University, Galway, Ireland
donal.oregan@@unigalway.ie
Ravi P. Agarwal
Department of Mathematical Science, Florida Institute of Technology, Melbourne, FL 32901-6975, U.S.A.
agarwal@fit.edu
This paper presents new existence results for singular discrete boundary value problems for the one-dimensional p-Laplacian. In particular our nonlinearity may be singular in its dependent variable and is allowed to change sign. Our results are new even for p = 2.
Keywords: Upper and lower solutions, discrete boundary value problem, existence, singular.
MSC: 34B16, 39A10
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