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On Sturm–Liouville boundary value problems for second-order nonlinear functional finite difference equations
Authors:Yuji Liu
Institution:Department of Mathematics, Guangdong University of Business Studies, Guangzhou 510320, PR China
Abstract:Motivated by the interesting paper I. Karaca, Discrete third-order three-point boundary value problem, J. Comput. Appl. Math. 205 (2007) 458–468], this paper is concerned with a class of boundary value problems for second-order functional difference equations. Sufficient conditions for the existence of at least one solution of a Sturm–Liouville boundary value problem for second-order nonlinear functional difference equations are established. We allow f to be at most linear, superlinear or sublinear in obtained results.
Keywords:34B10  34B15
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