English

Asymptotically almost periodic and asymptotically almost automorphic vector-valued generalized functions

Functional Analysis 2018-08-10 v1

Abstract

The main purpose of this paper is to introduce the notion of an asymptotically almost periodic ultradistribution and asymptotically almost automorphic ultradistribution with values in a Banach space, as well as to further analyze the classes of asymptotically almost periodic and asymptotically almost automorphic distributions with values in a Banach space. We provide some applications of the introduced concepts in the analysis of systems of ordinary differential equations.

Keywords

Cite

@article{arxiv.1808.03163,
  title  = {Asymptotically almost periodic and asymptotically almost automorphic vector-valued generalized functions},
  author = {Marko Kostic},
  journal= {arXiv preprint arXiv:1808.03163},
  year   = {2018}
}

Comments

arXiv admin note: text overlap with arXiv:1808.01305

R2 v1 2026-06-23T03:28:54.531Z