| Title:
|
Non-compact perturbations of $m$-accretive operators in general Banach spaces (English) |
| Author:
|
Cichoń, Mieczysław |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
33 |
| Issue:
|
3 |
| Year:
|
1992 |
| Pages:
|
403-409 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we deal with the Cauchy problem for differential inclusions governed by $m$-accretive operators in general Banach spaces. We are interested in finding the sufficient conditions for the existence of integral solutions of the problem $x'(t)\in -A x(t)+f(t,x(t))$, $x(0)=x_0$, where $A$ is an $m$-accretive operator, and $f$ is a continuous, but non-compact perturbation, satisfying some additional conditions. (English) |
| Keyword:
|
$m$-accretive operators |
| Keyword:
|
measures of noncompactness |
| Keyword:
|
differential inclusions |
| Keyword:
|
semigroups of contractions |
| MSC:
|
34A60 |
| MSC:
|
34G20 |
| MSC:
|
47H06 |
| MSC:
|
47H09 |
| MSC:
|
47H20 |
| MSC:
|
47N20 |
| MSC:
|
58D25 |
| idZBL:
|
Zbl 0770.58003 |
| idMR:
|
MR1209283 |
| . |
| Date available:
|
2009-01-08T17:56:50Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118509 |
| . |
| 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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| 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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| Reference:
|
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| . |
