| Title:
|
Global existence for functional semilinear integro-differential equations (English) |
| Author:
|
Ntouyas, Sotiris K. |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
34 |
| Issue:
|
2 |
| Year:
|
1998 |
| Pages:
|
239-256 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we study the global existence of solutions for first and second order initial value problems for functional semilinear integrodifferential equations in Banach space, by using the Leray-Schauder Alternative or the Nonlinear Alternative for contractive maps. (English) |
| Keyword:
|
Leray-Schauder Alternative |
| Keyword:
|
a priori bounds |
| Keyword:
|
partial functional integrodifferential equations |
| Keyword:
|
global existence |
| MSC:
|
34K30 |
| MSC:
|
35R10 |
| MSC:
|
45K05 |
| MSC:
|
47D06 |
| idZBL:
|
Zbl 0910.35136 |
| idMR:
|
MR1645312 |
| . |
| Date available:
|
2009-02-17T10:11:50Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107650 |
| . |
| 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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[8] Ntouyas, S., Sficas, Y., Tsamatos, P.: Existence results for initial value problems for neutral functional differential equations.J. Differential Equations 114 (1994), 527–537. MR 1303038 |
| Reference:
|
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| Reference:
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[10] Ntouyas, S., Tsamatos, P.: Global existence for functional integrodifferential equations of delay and neutral type.Applicable Analysis 54 (1994), 251–262. MR 1379636 |
| Reference:
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[11] Travis, C., Webb, G.: Cosine families and abstract nonlinear second order differential equations.Acta Math. Hungarica 32 (1978), 75–96. MR 0499581 |
| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| . |
