| Title:
|
Existence of mild solutions on semiinfinite interval for first order differential equation with nonlocal condition (English) |
| Author:
|
Benchohra, M. |
| Author:
|
Ntouyas, S. K. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
41 |
| Issue:
|
3 |
| Year:
|
2000 |
| Pages:
|
485-491 |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we investigate the existence of mild solutions defined on a semiinfinite interval for initial value problems for a differential equation with a nonlocal condition. The results is based on the Schauder-Tychonoff fixed point theorem and rely on a priori bounds on solutions. (English) |
| Keyword:
|
initial value problems |
| Keyword:
|
mild solution |
| Keyword:
|
semiinfinite interval |
| Keyword:
|
nonlocal condition |
| Keyword:
|
fixed point |
| MSC:
|
34A60 |
| MSC:
|
34G20 |
| MSC:
|
35R10 |
| MSC:
|
47H20 |
| idZBL:
|
Zbl 1045.34036 |
| idMR:
|
MR1795080 |
| . |
| Date available:
|
2009-01-08T19:04:24Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119184 |
| . |
| 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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[11] Ntouyas S.K., Tsamatos P.Ch.: Global existence for semilinear evolution equations with nonlocal conditions.J. Math. Anal. Appl. 210 (1997), 679-687. Zbl 0884.34069, MR 1453198 |
| Reference:
|
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| Reference:
|
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| . |
