TY - JOUR
T1 - Periodicity of Solutions for Non-Autonomous Neutral Functional Differential Equations with State-Dependent Delay
AU - Zhu, Jianbo
AU - Fu, Xianlong
N1 - Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature.
PY - 2023/6
Y1 - 2023/6
N2 - This paper is concerned with the existence of solutions and periodic solutions for a class of semilinear neutral functional differential equations with state-dependent delay, in which the linear part is non-autonomous and generates a linear evolution operator. We first establish the existence and regularity of bounded solutions for the considered equation, and then we show by using Banach fixed point theorem that these solutions have periodicity property or asymptotic periodicity property respectively under some conditions. Finally, an example to illustrate the obtained results is given.
AB - This paper is concerned with the existence of solutions and periodic solutions for a class of semilinear neutral functional differential equations with state-dependent delay, in which the linear part is non-autonomous and generates a linear evolution operator. We first establish the existence and regularity of bounded solutions for the considered equation, and then we show by using Banach fixed point theorem that these solutions have periodicity property or asymptotic periodicity property respectively under some conditions. Finally, an example to illustrate the obtained results is given.
KW - Linear evolution operator
KW - Non-autonomous neutral equation
KW - Periodic solution
KW - S-asymptotically periodic solution
KW - State-dependent delay
UR - https://www.scopus.com/pages/publications/85118336448
U2 - 10.1007/s10884-021-10098-y
DO - 10.1007/s10884-021-10098-y
M3 - 文章
AN - SCOPUS:85118336448
SN - 1040-7294
VL - 35
SP - 1389
EP - 1408
JO - Journal of Dynamics and Differential Equations
JF - Journal of Dynamics and Differential Equations
IS - 2
ER -