Nonlocal semilinear second-order differential inclusions in abstract spaces without compactness
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F26867184%3A_____%2F23%3AN0000005" target="_blank" >RIV/26867184:_____/23:N0000005 - isvavai.cz</a>
Result on the web
<a href="https://emis.de/journals/AM/23-1/Pavlackova.pdf" target="_blank" >https://emis.de/journals/AM/23-1/Pavlackova.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.5817/AM2023-1-99" target="_blank" >10.5817/AM2023-1-99</a>
Alternative languages
Result language
angličtina
Original language name
Nonlocal semilinear second-order differential inclusions in abstract spaces without compactness
Original language description
We study the existence of a mild solution to the nonlocal initial value problem for semilinear second-order differential inclusions in abstract spaces. The result is obtained by combining the Kakutani fixed point theorem with the approximation solvability method and the weak topology. This combination enables getting the result without any requirements for compactness of the right-hand side or of the cosine family generated by the linear operator.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
O - Projekt operacniho programu
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Archivum Mathematicum
ISSN
0044-8753
e-ISSN
1212-5059
Volume of the periodical
59
Issue of the periodical within the volume
1
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
9
Pages from-to
99-107
UT code for WoS article
000937071400010
EID of the result in the Scopus database
2-s2.0-85152115297