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Turkish Journal of Mathematics

DOI

-

Abstract

In this paper we study nonlinear second order difference equations subject to separated linear boundary conditions. Sign properties of the associated Green's functions are investigated and existence results for positive solutions of the nonlinear boundary value problem are established. Upper and lower bounds for these positive solutions also are given.

Keywords

Difference equations, boundary value problems, positive solutions, Green's function, fixed point theorem in cones

First Page

481

Last Page

508

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Mathematics Commons

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