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 exist...

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Bibliographic Details
Main Authors: Ha Thi Ngoc Yen, Pham Ky Anh
Format: Article
Language:English
Published: SpringerOpen 2004-07-01
Series:Advances in Difference Equations
Online Access:http://dx.doi.org/10.1155/S1687183904402015