Fatima Zohra Ladrani, Amin Benaissa Cherif, Abderrahmane Beniani, Khaled Zennir, Svetlin Georgiev, “Density problem some of the functional spaces for studying dynamic equations on time scales”, J. Sib. Fed. Univ. Math. Phys., 2022, Volume 15, Issue 1,Pages <nobr>46

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Density problem some of the functional spaces for studying dynamic equations on time scales

Fatima Zohra Ladrani^a, Amin Benaissa Cherif^b, Abderrahmane Beniani^c, Khaled Zennir^d, Svetlin Georgiev^e

^a Higher Training Teacher's School of Oran (ENSO), Oran, Algeria
^b University of Science and Technology of Oran "Mohamed–Boudiaf" (USTOMB), Oran, Algeria
^c Laboratory of Analysis and Control of Partial Differential Equations, University Center of Ain Temouchent, Ain Temouchent, Algerian
^d College of Sciences and Arts, Al-Ras, Qassim University, Kingdom of Saudi Arabia
^e Faculty of Mathematics and Informatics, University of Sofia, Sofia, Bulgaria

Abstract: In this paper we study some topological density properties of certain functional spaces on the time scales and its relationships to Lebesgue spaces in the sense of $\nabla $-integrals on time scales. Our results are provided with applications.

Keywords: time scale, density, measure.

UDC: 517.4

Received: 10.04.2021
Received in revised form: 10.06.2021
Accepted: 20.08.2021

Language: English

DOI: 10.17516/1997-1397-2022-15-1-46-55