On discrete analogues of nonlinear implicit differential equations
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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.
KeywordsDifferential Equation Partial Differential Equation Ordinary Differential Equation Functional Analysis Functional Equation
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