(w, c)-periodic mild solutions to non-autonomous abstract differential equations

Abadias, L. (Universidad de Zaragoza) ; Alvarez, Edgardo ; Grau, Rogelio

Resumen: 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.

Idioma: Inglés

DOI: 10.3390/math9050474

Año: 2021

Publicado en: Mathematics 9, 5 (2021), 474 [15 pp.]
ISSN: 2227-7390

Factor impacto JCR: 2.592 (2021)

Categ. JCR: MATHEMATICS rank: 21 / 333 = 0.063 (2021) - Q1 - T1

Factor impacto CITESCORE: 2.9 - Engineering (Q2) - Mathematics (Q2) - Computer Science (Q3)

Factor impacto SCIMAGO: 0.538 - Computer Science (miscellaneous) (Q2) - Engineering (miscellaneous) (Q2)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E26-17R
Financiación: info:eu-repo/grantAgreement/ES/MICINN PID2019-105979GB-I00
Financiación: info:eu-repo/grantAgreement/ES/UZ/JIUZ-2019-CIE-01

Tipo y forma: Article (Published version)

Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)