Positive solutions of nonlinear functional difference equations

In this paper, we apply a cone theoretic fixed-point theorem and obtain sufficient conditions for the existence of positive solutions to some boundary value problems for a class of functional difference equations. We consider analogues of sublinear or superlinear growth in the nonlinear terms.

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2001-08, Vol.42 (3), p.639-646
Main Authors: Eloe, P.W, Raffoul, Y, Reid, D.T, Yin, K.C
Format: Article
Language:English
Subjects:
Fixed points
Functional difference equation
Nonlinear eigenvalue problem
Positive solutions
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Summary:In this paper, we apply a cone theoretic fixed-point theorem and obtain sufficient conditions for the existence of positive solutions to some boundary value problems for a class of functional difference equations. We consider analogues of sublinear or superlinear growth in the nonlinear terms.
ISSN:0898-1221
1873-7668
DOI:10.1016/S0898-1221(01)00183-3