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arXiv · 1511.07833

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

Robert Hakl·Manuel Pinto·Viktor Tkachenko·Sergei Trofimchuk
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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.

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Robert Hakl, Manuel Pinto, Viktor Tkachenko, Sergei Trofimchuk. 2016-10-06. Almost periodic evolution systems with impulse action at state-dependent moments. https://doi.org/10.1016/j.jmaa.2016.09.024

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