| Title:
|
Functional-differential equations with Riemann-Liouville integrals in the nonlinearities (English) |
| Author:
|
Medveď, Milan |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
139 |
| Issue:
|
4 |
| Year:
|
2014 |
| Pages:
|
587-595 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A sufficient condition for the nonexistence of blowing-up solutions to evolution functional-differential equations in Banach spaces with the Riemann-Liouville integrals in their right-hand sides is proved. The linear part of such type of equations is an infinitesimal generator of a strongly continuous semigroup of linear bounded operators. The proof of the main result is based on a desingularization method applied by the author in his papers on integral inequalities with weakly singular kernels. The result is illustrated on an example of a scalar equation with one Riemann-Liouville integral. (English) |
| Keyword:
|
fractional differential equation |
| Keyword:
|
Riemann-Liouville integral |
| Keyword:
|
blowing-up solution |
| MSC:
|
34A08 |
| MSC:
|
34G20 |
| MSC:
|
34K05 |
| MSC:
|
34K37 |
| idZBL:
|
Zbl 06433683 |
| idMR:
|
MR3306849 |
| DOI:
|
10.21136/MB.2014.144136 |
| . |
| Date available:
|
2015-02-04T09:11:59Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144136 |
| . |
| Reference:
|
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| Reference:
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