On discrete analogues of nonlinear implicit differential equations

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作者
Pham Ky Anh
Le Cong Loi
机构
[1] Vietnam National University,Department of Mathematics
关键词
Differential Equation; Partial Differential Equation; Ordinary Differential Equation; Functional Analysis; Functional Equation;
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摘要
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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