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Discrete focal boundary-value problems

Published online by Cambridge University Press:  20 January 2009

Ravi P. Agarwal  and
Donal O'Regan
Ravi P. Agarwal
Affiliation:
Department of Mathematics, National, University of Singapore, 10 Kent Ridge Crescent, Singapore 119260
Donal O'Regan
Affiliation:
Department of Mathematics, National, University of Ireland, Galway, Ireland
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Abstract

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In this paper we shall employ the nonlinear alternative of Leray–Schauder and known sign properties of a related Green's function to establish the existence results for the nth-order discrete focal boundary-value problem. Both the singular and non-singular cases will be discussed.

Keywords

Leray—Schauder alternativefocal problemsGreen's functionsingularnon-singular

Information

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 43 , Issue 1 , February 2000 , pp. 155 - 165
Copyright
Copyright © Edinburgh Mathematical Society 2000

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