| Title:
|
The periodic problem for the second order integro-differential equations with distributed deviation (English) |
| Author:
|
Mukhigulashvili, Sulkhan |
| Author:
|
Novotná, Veronika |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
146 |
| Issue:
|
2 |
| Year:
|
2021 |
| Pages:
|
167-183 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We study the question of the unique solvability of the periodic type problem for the second order linear integro-differential equation with distributed argument deviation $$ u''(t)=p_0(t)u(t)+\int _{0}^{\omega }p(t,s)u(\tau (t,s)) {\rm d}s+ q(t), $$ and on the basis of the obtained results by the a priori boundedness principle we prove the new results on the solvability of periodic type problem for the second order nonlinear functional differential equations, which are close to the linear integro-differential equations. The proved results are optimal in some sense. (English) |
| Keyword:
|
linear integro-differential equation |
| Keyword:
|
periodic problem |
| Keyword:
|
distributed deviation |
| Keyword:
|
solvability |
| MSC:
|
34B15 |
| MSC:
|
34K06 |
| MSC:
|
34K13 |
| DOI:
|
10.21136/MB.2020.0061-19 |
| . |
| Date available:
|
2021-05-20T13:53:37Z |
| Last updated:
|
2021-06-07 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148930 |
| . |
| 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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