On the solvability of initial-value problems for nonlinear implicit difference equations

: Our aim is twofold. First, we propose a natural definition of index for linear nonautonomous implicit difference equations, which is similar to that of linear differential-algebraic equations. Then we extend this index notion to a class of nonlinear implicit difference equations and prove some exi...

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Bibliographic Details
Published in:Advances in difference equations 2004-07, Vol.2004 (3), p.390451-390451
Main Authors: Anh, Pham Ky, Yen, Ha Thi Ngoc
Format: Article
Language:English
Online Access:Get full text
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Summary:: Our aim is twofold. First, we propose a natural definition of index for linear nonautonomous implicit difference equations, which is similar to that of linear differential-algebraic equations. Then we extend this index notion to a class of nonlinear implicit difference equations and prove some existence theorems for their initial-value problems.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/1687-1847-2004-390451