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  • Research Article
  • 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:

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.

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Analysis
  • Functional Equation

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Authors’ Affiliations

(1)
Department of Mathematics, Vietnam National University, Hanoi, Vietnam

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