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On discrete analogues of nonlinear implicit differential equations


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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Correspondence to Pham Ky Anh.

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Anh, P.K., Loi, L.C. On discrete analogues of nonlinear implicit differential equations. Adv Differ Equ 2006, 043092 (2006).

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