On the Inversion of the Laplace Transform of $C_0 $ Semigroups and Its Applications
β Scribed by Yao, Peng-Fei
- Book ID
- 118176850
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1995
- Tongue
- English
- Weight
- 729 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0036-1410
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Necessary and sufficient conditions are given for a Banach-space-valued function f to be the Laplace-Stieltjes transform of a function of bounded variation. These conditions are used to obtain generation theorems for both absolutely continuous integrated semigroups and Abel summable semigroups.
This paper describes a new method for numerical inversion of the Laplace transform based on a conformal mapping of the Bromwich path onto a unit circle. The inversion integral along the unit circle in a complex plane, is obtained numerically using the trapezoidal rule. Some numerical results of the
## A new algebraic scheme for reverting Laplace transforms of smooth functions is presented. Expansion of the Laplace transform F(s) m descending powers of s is used to construct the Taylor semes of the corresponding time function f(t) This is done through entirely algebraic evaluatmns of F(s) at s