Almost periodic evolution systems with impulse action at state-dependent moments
- Resource Type
- Working Paper
- Authors
- Hakl, Robert; Pinto, Manuel; Tkachenko, Viktor; Trofimchuk, Sergei
- Source
- Journal of Mathematical Analysis and Applications 446 (2017), 1030-1045
- Subject
- Mathematics - Dynamical Systems
34A37, 34C27, 34G20
- Language
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.
Comment: 16 pages, minor changes from the previous version