Asymptotics of the solution to a singularly perturbed integral equation
โ Scribed by A.G. Ramm; E.I. Shifrin
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 209 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
โฆ Synopsis
The leading term of the asymptotics as e + +0 of the solution to the equation ch, + si, exp(--alz -yl)&(y)dy = f(z), -1 5 I < 1, f E C*(-1,l) is calculated.
๐ SIMILAR VOLUMES
A singularly perturbed linear-quadratic optimal control problem in an infinite dimensional Hilbert space is considered. An asymptotic solution of the corresponding operator Riccati equation is constructed. This result is illustrated by its application to the asymptotic solution of a set of integral-
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