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arxiv: 1511.07833 · v2 · pith:KNAE5WM3new · submitted 2015-11-24 · 🧮 math.DS

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

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keywords actionalmostevolutionimpulsemomentsperiodicstate-dependentsystems
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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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