Advances in Difference Equations
Volume 2006 (2006), Article ID 43092, 19 pages

On discrete analogues of nonlinear implicit differential equations

Pham Ky Anh and Le Cong Loi

Department of Mathematics, Vietnam National University, Hanoi, Vietnam

Received 16 February 2005; Revised 26 September 2005; Accepted 27 September 2005

Copyright © 2006 Pham Ky Anh and Le Cong Loi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper deals with some classes of nonlinear implicit difference equations obtained via discretization of nonlinear differential-algebraic or partial differential-algebraic equations. The unique solvability of discretized problems is proved and the compatibility between index notions for nonlinear differential-algebraic equations and nonlinear implicit difference equations is studied.