Open AccessPseudo $ S $-asymptotically Bloch type periodic solutions to a damped evolution equation
Author(s) -
Siqi Chen,
Yong-Kui Chang,
Yanyan Wei
Publication year - 2022
Publication title -
evolution equations and control theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 19
eISSN - 2163-2480
pISSN - 2163-2472
DOI - 10.3934/eect.2021017
Subject(s) - mathematics , type (biology) , initial value problem , cauchy problem , banach space , mathematical analysis , forcing (mathematics) , stability theory , cauchy distribution , mathematical physics , pure mathematics , physics , quantum mechanics , nonlinear system , ecology , biology
This paper is mainly concerned with the existence of pseudo S -asymptotically Bloch type periodic solutions to damped evolution equations in Banach spaces. Some existence results for classical Cauchy conditions and nonlocal Cauchy conditions are established through properties of pseudo S -asymptotically Bloch type periodic functions and regularized families. The obtained results show that for each pseudo S -asymptotically Bloch type periodic input forcing disturbance, the output mild solutions to reference equations remain pseudo S -asymptotically Bloch type periodic.