Year: 2025
Type: article
Abstract: In this paper, we investigate the Cauchy problem for nonautonomous abstract evolution equations of the form y′(t)=A(t)y(t)+f(t,y(t)),t≥0, y(0)=y0. We obtain new existence theorems for global mild solutions under both compact and noncompact evolution families U(t,s). Our key method relies on the generalized Ascoli–Arzela theorem we previously obtained. Finally, an example is provided to illustrate the applicability of our results.
Source: Mathematics
DOI: 10.3390/math13111722
Authors: Mian Zhou, Yong Liang, Yong Zhou
Institution: Macau University of Science and Technology
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,137
Award: G2691921714
OpenAlex ID: W4410628664