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A boundary value problem for second-order nonlinear difference equations on the integers
Published online by Cambridge University Press: 17 February 2009
Abstract
In this study, we are concerned with a boundary value problem (BVP) for nonlinear difference equations on the set of all integers Z. under the assumption that the left-hand side is a second-order linear difference expression which belongs to the so-called Weyl-Hamburger limit-circle case. The BVP is considered in the Hilbert space l2 and includes boundary conditions at infinity. Existence and uniqueness results for solution of the considered BVP are established.
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- Copyright © Australian Mathematical Society 2005