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MULTIPLE SOLUTIONS OF PERIODIC BOUNDARY VALUE PROBLEMS FOR FIRST-ORDER DIFFERENCE EQUATIONS

Part of: Difference and functional equations Difference equations

Published online by Cambridge University Press:  01 August 2008

DA-BIN WANG
DA-BIN WANG*
Affiliation:
Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, Gansu 730050, People’s Republic of China (email: wangdb@lut.cn)
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Abstract

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In this paper, existence criteria for multiple solutions of periodic boundary value problems for the first-order difference equation are established by using the Leggett–Williams multiple fixed point theorem and fixed point theorem of cone expansion and compression. Two examples are also given to illustrate the main results.

Keywords

periodic boundary value problempositive solutionfixed point theoremdifference equationcone

MSC classification

Secondary: 39A10: Difference equations, additive
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 78 , Issue 1 , August 2008 , pp. 1 - 11
Copyright
Copyright © 2008 Australian Mathematical Society

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