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On discrete analogues of nonlinear implicit differential equations
Advances in Difference Equations volume 2006, Article number: 043092 (2006)
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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Anh, P.K., Loi, L.C. On discrete analogues of nonlinear implicit differential equations. Adv Differ Equ 2006, 043092 (2006). https://doi.org/10.1155/ADE/2006/43092
- Differential Equation
- Partial Differential Equation
- Ordinary Differential Equation
- Functional Analysis
- Functional Equation