Some two-point problems for second order integro-differential equations with argument deviations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00521050" target="_blank" >RIV/67985840:_____/19:00521050 - isvavai.cz</a>
Alternative codes found
RIV/00216305:26510/19:PU132394
Result on the web
<a href="http://dx.doi.org/10.12775/TMNA.2019.045" target="_blank" >http://dx.doi.org/10.12775/TMNA.2019.045</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.12775/TMNA.2019.045" target="_blank" >10.12775/TMNA.2019.045</a>

Result language
angličtina
Original language name
Some two-point problems for second order integro-differential equations with argument deviations
Original language description
In the paper we describe the classes of unique solvability of the Dirichlet and mixed two point boundary value problems for the second order linear integro-differential equation $$ u''(t)=p_0(t)u(t)+p_1(t)u(tau_1(t))+int_{a}^{b}p(t,s)u(tau(s))ds+ q(t). $$% On the basis of the obtained and, in some sense, optimal results for the linear problems, by the a priori boundedness principle we prove the theorems of solvability and unique solvability for the second order nonlinear functional differential equations under the mentioned boundary conditions.
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
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/GA16-03796S" target="_blank" >GA16-03796S: Development of new methods of solving dynamic models of corporate processes management</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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