Name
Title | ||
|---|---|---|
Nonstandard singular perturbation systems and higher index differential-algebraic systems. |
Abstract | ||
|---|---|---|
In order to obtain trajectory approximation results for a given singular perturbation system (SPS), two systems are derived from it: the slow and the fast one. Tikhonov's theorem gives sufficient conditions on them to ensure a good approximation for a standard SPS, i.e., its corresponding slow system is a differential-algebraic system (DAS) of index 1. In this paper it is shown that a nonstandard SPS with the parameter set to zero can be seen as a DAS of higher index. This connection allows us to obtain a Tikhonov's theorem when this DAS is of index 2. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1016/S0096-3003(01)00288-0 | Applied Mathematics and Computation |
Keywords | Field | DocType |
differential algebraic equations,index,singular perturbation,differential algebra,boundary layer,indexation,differential algebraic equation | Tikhonov regularization,Existence theorem,Differential equation,Jacobian matrix and determinant,Implicit function theorem,Mathematical analysis,Algebraic equation,Singular perturbation,Differential algebraic equation,Mathematics | Journal |
Volume | Issue | ISSN |
134 | 2-3 | 0096-3003 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| M. Etchechoury | 1 | 3 | 1.71 |
| C. Muravchik | 2 | 543 | 68.59 |