paper

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

arXiv:1511.07833 · doi:10.1016/j.jmaa.2016.09.024

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.

16 pages, minor changes from the previous version

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