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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:446

Article

Hakl, Robert^1,4  Pinto, Manuel²  Tkachenko, Viktor³  Trofimchuk, Sergei⁴ 

[1] AS CR, Inst Math, Prague, Czech Republic

[2] Univ Chile, Fac Ciencias, Santiago, Chile

[3] Natl Acad Sci Ukraine, Inst Math, Tereshchenkivska Str 3, Kiev, Ukraine

[4] Univ Talca, Inst Matemat & Fis, Casilla 747, Talca, Chile

关键词: Wexler's almost periodic solution;    Evolution system;    Impulse action at variable times;    Beating phenomenon;   

DOI  :  10.1016/j.jmaa.2016.09.024

来源: Elsevier

【 摘 要 】

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. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free