On discrete analogues of nonlinear implicit differential equations
- 530 Downloads
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
- 4.Berger MS: Nonlinearity and Functional Analysis. Lectures on Nonlinear Problems in Mathematical Analysis, Pure and Applied Mathematics. Academic Press, New York; Harcourt Brace Jovanovich, London; 1977:xix+417.Google Scholar
This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.