Asymptotic Forms and Algebraic Differential Equations
β Scribed by John Shackell; Bruno Salvy
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 301 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0747-7171
No coin nor oath required. For personal study only.
β¦ Synopsis
We analyse the complexity of a simple algorithm for computing asymptotic solutions of algebraic differential equations. This analysis is based on a computation of the number of possible asymptotic monomials of a certain order, and on the study of the growth of this number as the order of the equation grows.
π SIMILAR VOLUMES
Singularly perturbed nonlinear differentialralgebraic equations DAE's are considered, which are decomposed into two auxiliary problems, called the outer and inner problems, respectively. The structure of solutions of the singularly perturbed DAE's is determined by the outer and inner solutions, both
## Abstract The aim of this paper is to deduce oscillatory and asymptotic behavior of the solutions of the ordinary differential equation equation image and the delay differential equation equation image by comparing these equations with a set of the first order advanced differential inequaliti