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Existence of uncountably many bounded nonoscillatory solutions and their iterative approximations for second order nonlinear neutral delay difference equations
Authors:Zeqing Liu  Jeong Sheok Ume
Affiliation:a Department of Mathematics, Liaoning Normal University, P.O. Box 200, Dalian, Liaoning 116029, People’s Republic of China
b Department of Mathematics and the Research Institute of Natural Science, Gyeongsang National University, Jinju 660-701, Republic of Korea
c Department of Applied Mathematics, Changwon National University, Changwon 641-773, Republic of Korea
Abstract:
In this paper, the Banach fixed-point theorem is employed to establish several existence results of uncountably many bounded nonoscillatory solutions for the second order nonlinear neutral delay difference equation
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Keywords:Second order nonlinear neutral delay difference equation   Uncountably many bounded nonoscillatory solutions   Contraction mapping   Mann iterative sequence with errors
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