Open Access

On discrete analogues of nonlinear implicit differential equations

Advances in Difference Equations20062006:043092

https://doi.org/10.1155/ADE/2006/43092

Received: 16 February 2005

Accepted: 27 September 2005

Published: 23 February 2006

Abstract

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.

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Authors’ Affiliations

(1)
Department of Mathematics, Vietnam National University

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Copyright

© P. K. Anh and L. C. Loi. 2006

This article is published under license to BioMed Central Ltd. 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.