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focal problems

Proceedings of the Edinburgh Mathematical Society (1)

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Discrete focal boundary-value problems
Ravi P. Agarwal, Donal O'Regan
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 43 / Issue 1 / February 2000

Published online by Cambridge University Press:

20 January 2009, pp. 155-165
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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.