102107 20230519145402.0 doi 10.3390/math9050474 sideral 124313 ART-2021-124313 eng Abadias, L. Universidad de Zaragoza (orcid)0000-0003-2453-7841 (w, c)-periodic mild solutions to non-autonomous abstract differential equations 2021 Access copy available to the general public Unrestricted We investigate the semi-linear, non-autonomous, first-order abstract differential equation x′(t)=A(t)x(t)+f(t,x(t),φ[α(t,x(t))]),t∈R. We obtain results on existence and uniqueness of (ω,c)-periodic (second-kind periodic) mild solutions, assuming that A(t) satisfies the so-called Acquistapace–Terreni conditions and the homogeneous associated problem has an integrable dichotomy. A new composition theorem and further regularity theorems are given. info:eu-repo/grantAgreement/ES/DGA/E26-17R info:eu-repo/grantAgreement/ES/MICINN PID2019-105979GB-I00 info:eu-repo/grantAgreement/ES/UZ/JIUZ-2019-CIE-01 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 2.592 2021 MATHEMATICS 21 / 333 = 0.063 2021 Q1 T1 0.538 2021 Computer Science (miscellaneous) 2021 Q2 Engineering (miscellaneous) 2021 Q2 2.9 2021 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Alvarez, Edgardo Grau, Rogelio 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 9, 5 (2021), 474 [15 pp.] Mathematics (Basel) Mathematics 2227-7390 302419 http://zaguan.unizar.es/record/102107/files/texto_completo.pdf Versión publicada 2396510 http://zaguan.unizar.es/record/102107/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:102107 articulos driver 2023-05-18-13:41:42 ARTICLE