English

Almost periodic evolution systems with impulse action at state-dependent moments

Dynamical Systems 2016-10-07 v2

Abstract

We study the existence of almost periodic solutions for semi-linear abstract parabolic evolution equations with impulse action at state-dependent moments. In particular, we present conditions excluding the beating phenomenon in these systems. The main result is illustrated with an example of impulsive diffusive logistic equation.

Keywords

Cite

@article{arxiv.1511.07833,
  title  = {Almost periodic evolution systems with impulse action at state-dependent moments},
  author = {Robert Hakl and Manuel Pinto and Viktor Tkachenko and Sergei Trofimchuk},
  journal= {arXiv preprint arXiv:1511.07833},
  year   = {2016}
}

Comments

16 pages, minor changes from the previous version

R2 v1 2026-06-22T11:53:31.728Z