| Title:
|
Global existence results for second order neutral functional differential equation with state-dependent delay (English) |
| Author:
|
Benchohra, Mouffak |
| Author:
|
Medjadj, Imene |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
57 |
| Issue:
|
2 |
| Year:
|
2016 |
| Pages:
|
169-183 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Our aim in this work is to provide sufficient conditions for the existence of global solutions of second order neutral functional differential equation with state-dependent delay. We use the semigroup theory and Schauder's fixed point theorem. (English) |
| Keyword:
|
neutral functional differential equation of second order |
| Keyword:
|
mild solution |
| Keyword:
|
infinite delay |
| Keyword:
|
state-dependent delay fixed point |
| Keyword:
|
semigroup theory |
| Keyword:
|
cosine function |
| MSC:
|
34G20 |
| MSC:
|
34K20 |
| MSC:
|
34K30 |
| idZBL:
|
Zbl 1374.34299 |
| idMR:
|
MR3513443 |
| DOI:
|
10.14712/1213-7243.2015.163 |
| . |
| Date available:
|
2016-07-05T15:05:27Z |
| Last updated:
|
2018-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/145749 |
| . |
| Reference:
|
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