caa a22 4500 605461996 CHVBK 20210128100246.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s10114-015-4727-1 doi (NATIONALLICENCE)springer-10.1007/s10114-015-4727-1 Xia Zhi Department of Applied Mathematics, Zhejiang University of Technology, 310023, Hangzhou, P. R. China aut Weighted pseudo asymptotically periodic mild solutions of evolution equations [Elektronische Daten] [Zhi Xia] In this paper, we propose a new class of functions called weighted pseudo S-asymptotically periodic function in the Stepanov sense and explore its properties in Banach space including composition theorems. Furthermore, the existence, uniqueness of the weighted pseudo S-asymptotically periodic mild solutions to partial evolution equations and nonautonomous semilinear evolution equations are investigated. Some interesting examples are presented to illustrate the main findings. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 S p -weighted pseudo S -asymptotic periodicity nationallicence weighted pseudo S -asymptotic periodicity nationallicence evolution equations nationallicence mild solutions nationallicence Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/8(2015-08-01), 1215-1232 1439-8516 31:8<1215 2015 31 10114 https://doi.org/10.1007/s10114-015-4727-1 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10114-015-4727-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Xia Zhi Department of Applied Mathematics, Zhejiang University of Technology, 310023, Hangzhou, P. R. China aut NATIONALLICENCE 773 0- Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/8(2015-08-01), 1215-1232 1439-8516 31:8<1215 2015 31 10114