Open Access

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

Advances in Difference Equations20042004:390451

DOI: 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
(2)
Department of Applied Mathematics, Hanoi University of Technology

Copyright

© Anh and Yen 2004