English

The Gelfand--Shilov type estimate for Green's function of the bounded solutions problem

Functional Analysis 2017-05-23 v1 Classical Analysis and ODEs Dynamical Systems Spectral Theory

Abstract

An analog of the Gelfand--Shilov estimate of the matrix exponential is proved for Green's function of the problem of bounded solutions of the ordinary differential equation x(t)Ax(t)=f(t)x'(t)-Ax(t)=f(t).

Keywords

Cite

@article{arxiv.1705.07462,
  title  = {The Gelfand--Shilov type estimate for Green's function of the bounded solutions problem},
  author = {V. G. Kurbatov and I. V. Kurbatova},
  journal= {arXiv preprint arXiv:1705.07462},
  year   = {2017}
}

Comments

9 pages