We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Almost periodic type functions and densities.
- Authors
Kostić, Marko
- Abstract
In this paper, we introduce and analyze the notions of -almost periodicity and Stepanov -almost periodicity for functions with values in complex Banach spaces. In order to do that, we use the recently introduced notions of lower and upper (Banach) -densities. We also analyze uniformly recurrent functions, generalized almost automorphic functions and apply our results in the qualitative analysis of solutions of inhomogeneous abstract integro-differential inclusions. We present plenty of illustrative examples, results of independent interest, questions and unsolved problems.
- Subjects
PERIODIC functions; BANACH spaces; AUTOMORPHIC functions; INTEGRO-differential equations; DENSITY
- Publication
Evolution Equations & Control Theory, 2022, Vol 11, Issue 2, p457
- ISSN
2163-2472
- Publication type
Article
- DOI
10.3934/eect.2021008