The periodic problem for the second order integro-differential equations with distributed deviation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00542593" target="_blank" >RIV/67985840:_____/21:00542593 - isvavai.cz</a>
Alternative codes found
RIV/00216305:26510/20:PU133835
Result on the web
<a href="https://doi.org/10.21136/MB.2020.0061-19" target="_blank" >https://doi.org/10.21136/MB.2020.0061-19</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21136/MB.2020.0061-19" target="_blank" >10.21136/MB.2020.0061-19</a>

Result language
angličtina
Original language name
The periodic problem for the second order integro-differential equations with distributed deviation
Original language description
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.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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