Advances in Difference Equations
Volume 2006 (2006), Article ID 43092, 19 pages
On discrete analogues of nonlinear implicit differential equations
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.