Almost periodic and almost automorphic dynamics for scalar convex differential equations

被引：8

作者：

Novo, S ^{[1
]}

Obaya, R

Sanz, AM

机构：

[1] Univ Valladolid, Dept Matemat Aplicada, ETS Ingn Ind, E-47011 Valladolid, Spain

[2] Univ Valladolid, Fac Ciencias, Dept Anal Matemat & Didact Matemat, E-47005 Valladolid, Spain

来源：

ISRAEL JOURNAL OF MATHEMATICS | 2004年 / 144卷 / 2期

关键词：

Differential Equation; Group Theory; Periodic Dynamic; Bounded Trajectory; Automorphic Dynamic;

D O I：

10.1007/BF02916711

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the set of bounded trajectories for the flow defined by a class of scalar convex differential equations depending on a parameter. It is found that there exists precisely one value of the parameter for which almost automorphic but not almost periodic dynamics may appear. Even for this parameter value, the occurrence of almost periodic dynamics is shown to be residual in some cases. The dependence of this parameter on the functions defining the differential equations is also studied.

引用

页码：157 / 189

页数：33

共 50 条

[1] Almost periodic and almost automorphic dynamics for scalar convex differential equations
Sylvia Novo
Rafael Obaya
Ana M. Sanz
[J]. Israel Journal of Mathematics, 2004, 144 : 157 - 189
[2] Levitan/Bohr almost periodic and almost automorphic solutions of scalar differential equations
Cheban, David
[J]. DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2018, 33 (04): : 667 - 690
[3] ALMOST PERIODIC AND ALMOST AUTOMORPHIC SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS
Caraballo, Tomas
Cheban, David
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2013, 33 (05): : 1857 - 1882
[4] 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
[5] Almost periodic and almost automorphic solutions to semilinear parabolic boundary differential equations
Baroun, M.
Maniar, L.
N'Guerekata, G. M.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (07) : 2114 - 2124
[6] Levitan Almost Periodic and Almost Automorphic Solutions of V-monotone Differential Equations
David N. Cheban
[J]. Journal of Dynamics and Differential Equations, 2008, 20 : 669 - 697
[7] Levitan almost periodic and almost automorphic solutions of V-monotone differential equations
Cheban, David N.
[J]. JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS, 2008, 20 (03) : 669 - 697
[8] DYNAMICS OF ALMOST-PERIODIC SCALAR PARABOLIC EQUATIONS
SHEN, WX
YI, YF
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1995, 122 (01) : 114 - 136
[9] Levitan/Bohr almost periodic and almost automorphic solutions of second order monotone differential equations
Caraballo, Tomas
Cheban, David
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 251 (03) : 708 - 727
[10] Almost periodic and almost automorphic solutions for some nondensely nonautonomous linear periodic partial functional differential equations
Abdallah Afoukal
Khalil Ezzinbi
Khalid Hilal
[J]. SeMA Journal, 2024, 81 (3) : 379 - 412

← 1 2 3 4 5 →