| Title:
|
Linear distributional differential equations in the space of regulated functions (English) |
| Author:
|
Pelant, Martin |
| Author:
|
Tvrdý, Milan |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
118 |
| Issue:
|
4 |
| Year:
|
1993 |
| Pages:
|
379-400 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the paper existence and uniqueness results for the linear differential system on the interval [0,1]
$A_1(A_0x)'-A'_2x=f'$ with distributional coefficients and solutions from the space of regulated functions are obtained. (English) |
| Keyword:
|
Perron-Stieltjes integral |
| Keyword:
|
Kurzweil integral |
| Keyword:
|
distributional coefficients |
| Keyword:
|
regulated functions |
| Keyword:
|
generalized linear differential equation |
| Keyword:
|
existence |
| Keyword:
|
uniqueness |
| Keyword:
|
variation-of-constants formula |
| Keyword:
|
distribution |
| MSC:
|
34A12 |
| MSC:
|
34A30 |
| MSC:
|
34A37 |
| MSC:
|
46F99 |
| MSC:
|
46N20 |
| idZBL:
|
Zbl 0796.34014 |
| idMR:
|
MR1251883 |
| DOI:
|
10.21136/MB.1993.126158 |
| . |
| Date available:
|
2009-09-24T21:01:30Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126158 |
| . |
| Reference:
|
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| Reference:
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| . |
