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

0464478 - MÚ 2018 RIV US eng J - Journal Article
Hakl, Robert - Pinto, M. - Tkachenko, V. - Trofimchuk, S.
Almost periodic evolution systems with impulse action at state-dependent moments.
Journal of Mathematical Analysis and Applications. Roč. 446, č. 1 (2017), s. 1030-1045. ISSN 0022-247X. E-ISSN 1096-0813
Institutional support: RVO:67985840
Keywords : Wexler's almost periodic solution * evolution system * impulse action at variable times
OECD category: Applied mathematics
Impact factor: 1.138, year: 2017
http://www.sciencedirect.com/science/article/pii/S0022247X16305273

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.
Permanent Link: http://hdl.handle.net/11104/0263359