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Computers & Mathematics with Applications
Volume 42, Issues 3-5, August-September 2001, Pages 639-646
 
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doi:10.1016/S0898-1221(01)00183-3    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2001 Published by Elsevier Science Ltd. All rights reserved.

Positive solutions of nonlinear functional difference equations

P. W. Eloe and Y. RaffoulE-mail The Corresponding Author

D. T. ReidE-mail The Corresponding Author

K. C. YinE-mail The Corresponding Author

Department of Mathematics, University of Dayton Dayton, OH 45469-2316, U.S.A. Department of Mathematics and Computer Science Valdosta State University, Valdosta, GA 31698, U.S.A. Department of Mathematics, LaGrange College LaGrange, GA 30240, U.S.A.

Available online 27 August 2001.

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Abstract

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.

Author Keywords: Functional difference equation; Nonlinear eigenvalue problem; Positive solutions; Fixed points

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Computers & Mathematics with Applications
Volume 42, Issues 3-5, August-September 2001, Pages 639-646
 
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