M. Kostić, S. Pilipović, D. Velinov, V. E. Fedorov, “<nobr>$c$</nobr>-Almost periodic type distributions”, Chelyab. Fiz.-Mat. Zh., 2021, Volume 6, Issue 2,Pages <nobr>190

Mathematics

$c$-Almost periodic type distributions

M. Kostić^a, S. Pilipović^a, D. Velinov^b, V. E. Fedorov^cd

^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

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.

UDC: 517.5+517.9

Received: 14.02.2021
Revised: 16.04.2021

Language: English

DOI: 10.24411/2500-0101-2021-16205