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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2021, Volume 6, Issue 2, Pages 190–207
DOI: https://doi.org/10.24411/2500-0101-2021-16205 (Mi chfmj235) 		 
Mathematics

$c$-Almost periodic type distributions

M. Kostića, S. Pilipovića, D. Velinovb, V. E. Fedorovcd

a Novi Sad University, Novi Sad, Serbia
b Ss. Cyril and Methodius University, Skopje, North Macedonia
c Chelyabinsk State University, Chelyabinsk, Russia
d South Ural State University (National Research University), Chelyabinsk, Russia
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DOI: https://doi.org/10.24411/2500-0101-2021-16205
Abstract: We introduce and systematically analyze various classes of $c$-almost periodic type distributions and asymptotically $c$-almost periodic type distributions with values in complex Banach spaces. We provide an interesting application in the study of existence of asymptotically $c$-almost periodic type solutions for a class of ordinary differential equations in the distributional spaces.
Keywords: $c$-almost periodic type distribution, asymptotically $c$-almost periodic type distribution, generalized function, ordinary differential equation, Banach space.
Funding agency Grant number
Ministry of Science and Technology of Republic of Srpska 451-03-68/2020/14/200156
Russian Foundation for Basic Research 21-51-54003
Ministry of Education and Science of the Russian Federation 02.A03.21.0011
The research is partially supported by Ministry of Science and Technological Development, Republic of Serbia (Grant no. 451-03-68/2020/14/200156), Bilateral project between MANU and SANU, by the Russian Foundation for Basic Research (Grant no. 21-51-54003) and by Act 211 of Government of the Russian Federation, contract 02.A03.21.0011.
Received: 14.02.2021
Revised: 16.04.2021
Document Type: Article
UDC: 517.5+517.9
Language: English
Citation: M. Kostić, S. Pilipović, D. Velinov, V. E. Fedorov, “$c$-Almost periodic type distributions”, Chelyab. Fiz.-Mat. Zh., 6:2 (2021), 190–207
Citation in format AMSBIB
\Bibitem{KosPilVel21}
\by M.~Kosti\'c, S.~Pilipovi{\'c}, D.~Velinov, V.~E.~Fedorov
\paper $c$-Almost periodic type distributions
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2021
\vol 6
\issue 2
\pages 190--207
\mathnet{http://mi.mathnet.ru/chfmj235}
\crossref{https://doi.org/10.24411/2500-0101-2021-16205}
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