arXiv
Open Access
2021
Metrical almost periodicity and applications
Marko Kostic
Abstrak
In this paper, we analyze various classes of multi-dimensional almost periodic type functions in general metric. The main classes of functions under our consideration are $({\mathrm R}, {\mathcal B},{\mathcal P},L)$-multi-almost periodic functions, $({\mathrm R}_{X}, {\mathcal B},{\mathcal P},L)$-multi-almost periodic functions, Bohr $({\mathcal B}, I',ρ,{\mathcal P})$-almost periodic functions and $({\mathcal B}, I',ρ,{\mathcal P})$-uniformly recurrent functions. We clarify the main structural properties for the introduced classes of almost periodic type functions and provide some applications of our results to the abstract Volterra integro-differential equations.
Topik & Kata Kunci
Penulis (1)
M
Marko Kostic
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2021
- Bahasa
- en
- Sumber Database
- arXiv
- Akses
- Open Access ✓