Levitan/Bohr almost periodic and almost automorphic solutions of scalar differential equations

被引：3

作者：

Cheban, David ^{[1
]}

机构：

[1] State Univ Moldova, Fac Math & Informat, Dept Fundamental Math, Kishinev, Moldova

来源：

DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL | 2018年 / 33卷 / 04期

关键词：

Bohr; Levitan almost periodic solution; almost automorphic solutions; scalar differential equations; uniform stability; non-autonomous dynamical systems; cocycle; MINIMAL TRANSFORMATION GROUPS; TOPOLOGICAL DYNAMICS; FINITE EXTENSIONS; SYSTEMS;

D O I：

10.1080/14689367.2018.1433817

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to prove the existence of Levitan/Bohr almost periodic, almost automorphic, recurrent and Poisson stable solutions of the scalar differential equations. The existence of at least one quasi-periodic (respectively, Bohr almost periodic, almost automorphic, recurrent, pseudo recurrent, Levitan almost periodic, almost recurrent, Poisson stable) solution of sclalar differential equations is proved under the condition that it admits at least one bounded solution on the positive semi-axis which is uniformly Lyapunov stable.

引用

页码：667 / 690

页数：24

共 50 条

[21] Weighted Pseudo Almost Periodic and Pseudo Almost Automorphic Solutions of Class r for Some Partial Differential Equations
Khalil Ezzinbi
Hamidou Toure
Issa Zabsonre
[J]. Differential Equations and Dynamical Systems, 2021, 29 : 313 - 338
[22] Weighted Pseudo Almost Periodic and Pseudo Almost Automorphic Solutions of Class r for Some Partial Differential Equations
Ezzinbi, Khalil
Toure, Hamidou
Zabsonre, Issa
[J]. DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, 2021, 29 (02) : 313 - 338
[23] Almost automorphic solutions for nonautonomous stochastic differential equations
Fu, Miaomiao
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 393 (01) : 231 - 238
[24] ABSTRACT ALMOST-AUTOMORPHIC AND ALMOST-PERIODIC FUNCTIONS WITH RESPECT TO LEVITAN, AND THEIR DIFFERENCES
BASIT, B
[J]. BULLETIN DES SCIENCES MATHEMATIQUES, 1977, 101 (02): : 131 - 148
[25] A Relation Between Almost Automorphic and Levitan Almost Periodic Points in Compact Minimal Flows
Alica Miller
[J]. Journal of Dynamics and Differential Equations, 2008, 20 : 519 - 529
[26] Almost automorphic solutions for some stochastic differential equations
Fu, Miaomiao
Chen, Feng
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2013, 80 : 66 - 75
[27] Almost Automorphic Solutions to Abstract Fractional Differential Equations
Ding, Hui-Sheng
Liang, Jin
Xiao, Ti-Jun
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2010,
[28] Almost automorphic mild solutions to fractional differential equations
Araya, Daniela
Lizama, Carlos
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (11) : 3692 - 3705
[29] Almost automorphic solutions for abstract functional differential equations
Hino, Y
Murakami, S
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 286 (02) : 741 - 752
[30] Almost automorphic solutions for semilinear boundary differential equations
Boulite, S.
Maniar, L.
N'Guerekata, G. M.
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 134 (12) : 3613 - 3624

← 1 2 3 4 5 →