Integrated cosine functions
In order to the second order Cauchy problem (CP2):x″(t)=Ax(t), x(0)=x∈D(An), x″(0)=y∈D(Am) on a Banach space, Arendt and Kellermann recently introduced the integrated cosine function. This paper is concerned with its basic theory, which contain some properties, perturbation and approximation theorem...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1996-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171296000798 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | In order to the second order Cauchy problem (CP2):x″(t)=Ax(t), x(0)=x∈D(An), x″(0)=y∈D(Am) on a Banach space, Arendt and Kellermann recently introduced
the integrated cosine function. This paper is concerned with its basic theory, which contain some
properties, perturbation and approximation theorems, the relationship to analytic integrated semigroups,
interpolation and extrapolation theorems. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |