| Title:
|
Distributional derivatives of functions of two variables of finite variation and their application to an impulsive hyperbolic equation (English) |
| Author:
|
Idczak, Dariusz |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
48 |
| Issue:
|
1 |
| Year:
|
1998 |
| Pages:
|
145-171 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We give characterizations of the distributional derivatives $D^{1,1}$, $D^{1,0}$, $D^{0,1}$ of functions of two variables of locally finite variation. Then we use these results to prove the existence theorem for the hyperbolic equation with a nonhomogeneous term containing the distributional derivative determined by an additive function of an interval of finite variation. An application of the above theorem to a hyperbolic equation with an impulse effect is also given. (English) |
| MSC:
|
26A21 |
| MSC:
|
26A99 |
| MSC:
|
26B05 |
| MSC:
|
26B30 |
| MSC:
|
35L10 |
| MSC:
|
35R10 |
| MSC:
|
46F10 |
| MSC:
|
46G05 |
| idZBL:
|
Zbl 0930.26006 |
| idMR:
|
MR1614025 |
| . |
| Date available:
|
2009-09-24T10:12:05Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127406 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
