title: Existence of anti-periodic (differentiable) mild solutions to semilinear differential equations with nondense domain.
abstract: In this paper, we investigate the existence of anti-periodic (or anti-periodic differentiable) mild solutions to the semilinear differential equation [Formula: see text] with nondense domain. Furthermore, an example is given to illustrate our results.
authors.affiliation: Department of Mathematics and Physics, Zhengzhou University of Aeronautics, Zhengzhou, 450015 People's Republic of China ; Collaborative Innovation Center for Aviation Economy Development of Henan Province, Zhengzhou University of Aeronautics, Zhengzhou, 450015 People's Republic of China.
authors.forename: Jinghuai
authors.initials: J
authors.lastname: Liu
authors.affiliation: Department of Mathematics and Physics, Zhengzhou University of Aeronautics, Zhengzhou, 450015 People's Republic of China ; Collaborative Innovation Center for Aviation Economy Development of Henan Province, Zhengzhou University of Aeronautics, Zhengzhou, 450015 People's Republic of China.
authors.forename: Litao
authors.initials: L
authors.lastname: Zhang
keywords: Anti-periodic (differentiable) function; Hille–Yosida operators; Mild solutions; Semilinear differential equations