On Quasi-Linear Implicit Difference Equation

Authors: Phạm Kỳ Anh, Hà Thị Ngọc Yến, Trần Quốc Bình,

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Publisher, magazine: ,

Publication year: 2004

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Abstract

This paper is concerned with the solvability and approximate solutions of a class of quasi-linear implicit difference equations. Thanks to the index-1 (quasiindex-1) property of linear parts, an initial infinite system can be decoupled. Then the Banach’s and Brouwer’s fixed point theorems are applied to ensure the unique solvability (solvability) of the IVP for quasi linear implicit difference equations.

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