Existence of Weighted Pseudo-almost Automorphic Mild Solutions to Non-autonomous Abstract Neutral Differential Equations with Deviating Arguments

被引：0

作者：

Haloi R. ^{[1
]}

机构：

[1] Department of Mathematical Sciences, Tezpur University, Napaam, Tezpur, Sonitpur

来源：

Differential Equations and Dynamical Systems | 2014年 / 22卷 / 2期

关键词：

Banach fixed point theorem; Differential equation with a deviating argument; Evolution semigroup; Exponential dichotomy; Exponentially stable semigroup;

D O I：

10.1007/s12591-013-0164-8

中图分类号：

学科分类号：

摘要：

In this article we obtain sufficient conditions for the existence and uniqueness of a weighted pseudo-almost automorphic mild solution to a non-autonomous neutral differential equation with a deviating argument in an arbitrary Banach space. We use the exponentially stable evolution semigroup and the Banach fixed point theorem for establishing the main results. Extension of the main results to some integro-differential equation has also been considered. © 2013 Foundation for Scientific Research and Technological Innovation.

引用

页码：165 / 179

页数：14

共 50 条

[1] 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
[2] Existence of pseudo-almost automorphic solutions to some abstract differential equations with Sp-pseudo-almost automorphic coefficients
Diagana, Toka
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (11) : 3781 - 3790
[3] 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
[4] 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)
[5] Existence of pseudo-almost automorphic solutions for nonlinear differential equations
Li, Lan
Wang, Yan
[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2014, 30 (04): : 977 - 988
[6] Existence of pseudo-almost automorphic solutions for nonlinear differential equations
Lan Li
Yan Wang
[J]. Acta Mathematicae Applicatae Sinica, English Series, 2014, 30 : 977 - 988
[7] Existence of Pseudo-Almost Automorphic Solutions for Nonlinear Differential Equations
Lan LI
YAN WANG
[J]. Acta Mathematicae Applicatae Sinica, 2014, (04) : 977 - 988
[8] Existence of Pseudo-Almost Automorphic Solutions for Nonlinear Differential Equations
Lan LI
YAN WANG
[J]. Acta Mathematicae Applicatae Sinica(English Series)., 2014, 30 (04) - 988
[9] (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)
[10] Almost automorphic and pseudo-almost automorphic mild solutions to an abstract differential equation in Banach spaces
Zhao, Zhi-Han
Chang, Yong-Kui
Nieto, Juan J.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) : 1886 - 1894

← 1 2 3 4 5 →