Almost Automorphic Solutions of Non-autonomous Differential Equations

被引：0

作者：

Hailong Zhu

Fang-Fang Liao

机构：

[1] Shanghai Normal University,Department of Mathematics

[2] Anhui University of Finance and Economics,School of Statistics and Applied Mathematics

[3] Southeast University,Department of Mathematics

来源：

Bulletin of the Iranian Mathematical Society | 2018年 / 44卷

关键词：

Almost automorphic; Exponential dichotomy; Product integration; Primary 34C37; Secondary 34D09;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we study the existence and uniqueness of almost automorphic solutions for non-autonomous linear and nonlinear differential equations in a Banach space, when the linear equation admits an exponential dichotomy.

引用

页码：205 / 223

页数：18

共 50 条

[1] Almost Automorphic Solutions of Non-autonomous Differential Equations
Zhu, Hailong
Liao, Fang-Fang
[J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2018, 44 (01): : 205 - 223
[2] (μ, ν)-Pseudo almost automorphic solutions for some non-autonomous differential equations
Dads, El Hadi Ait
Ezzinbi, Khalil
Miraoui, Mohsen
[J]. INTERNATIONAL JOURNAL OF MATHEMATICS, 2015, 26 (11)
[3] Almost automorphic solutions of non-autonomous difference equations
Lizama, Carlos
Mesquita, Jaqueline G.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 407 (02) : 339 - 349
[4] Pseudo Almost Automorphic Solutions for Non-autonomous Stochastic Differential Equations with Exponential Dichotomy
Du Jin-shi
Sun Kai
Wang Yan
Li Yong
[J]. Communications in Mathematical Research, 2014, 30 (02) : 139 - 156
[5] Pseudo almost automorphic mild solutions to non-autonomous differential equations in the “strong topology”
Feng-Xia Zheng
Hong-Xu Li
[J]. Banach Journal of Mathematical Analysis, 2022, 16
[6] Pseudo almost automorphic mild solutions to non-autonomous differential equations in the "strong topology"
Zheng, Feng-Xia
Li, Hong-Xu
[J]. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2022, 16 (01)
[7] Existence of almost automorphic mild solutions to non-autonomous neutral stochastic differential equations
Revathi, P.
Sakthivel, R.
Ren, Yong
Anthoni, S. Marshal
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2014, 230 : 639 - 649
[8] Invariant manifolds, global attractors, almost automorphic and almost periodic solutions of non-autonomous differential equations
Cheban, David
Schmalfuss, Bjoem
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 340 (01) : 374 - 393
[9] Almost automorphic and almost periodic dynamics for quasimonotone non-autonomous functional differential equations
Novo S.
Núñez C.
Obaya R.
[J]. Journal of Dynamics and Differential Equations, 2005, 17 (3) : 589 - 619
[10] Square-mean almost automorphic mild solutions to non-autonomous stochastic differential equations in Hilbert spaces
Chang, Yong-Kui
Zhao, Zhi-Han
N'Guerekata, G. M.
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (02) : 384 - 391

← 1 2 3 4 5 →