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

Advances in Difference Equations20042004:390451

https://doi.org/10.1155/S1687183904402015

Received: 18 February 2004

Published: 12 July 2004

Abstract

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.

Authors’ Affiliations

(1)
Department of Mathematics, Mechanics, and Informatics, College of Science, Vietnam National University, Hanoi, Vietnam
(2)
Department of Applied Mathematics, Hanoi University of Technology, Hanoi, Vietnam

Copyright

© Anh and Yen 2004

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