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

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• 作者：Robert Hakl^a ; ^d ; ^{hakl@ipm.cz" class="auth_mail" title="E-mail the corresponding author} ; Manuel Pinto^b ; ^{pintoj@uchile.cl" class="auth_mail" title="E-mail the corresponding author} ; Viktor Tkachenko^c ; ^{vitk@imath.kiev.ua" class="auth_mail" title="E-mail the corresponding author} ; Sergei Trofimchuk^d ; ^{trofimch@inst-mat.utalca.cl" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Wexler's almost periodic solution ; Evolution system ; Impulse action at variable times ; Beating phenomenon
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：1 February 2017
• 年：2017
• 卷：446
• 期：1
• 页码：1030-1045
• 全文大小：435 K

文摘

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.