FLOQUET REPRESENTATIONS AND ASYMPTOTIC BEHAVIOR OF PERIODIC EVOLUTION FAMILIES

被引：0

作者：

Bayazit, Fatih ^{[1
]}

Groh, Ulrich ^{[1
]}

Nagel, Rainer ^{[1
]}

机构：

[1] Univ Tubingen, Math Nat Wissensch Fak, D-72076 Tubingen, Germany

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2013年 / 33卷 / 11-12期

关键词：

Nonautonomous abstract Cauchy problems; evolution semigroups; periodic evolution families; asymptotic behavior; Floquet theory;

D O I：

10.3934/dcds.2013.33.4795

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use semigroup techniques to describe the asymptotic behavior of contractive, periodic evolution families on Hilbert spaces. In particular, we show that such evolution families converge almost weakly to a Floquet representation with discrete spectrum.

引用

页码：4795 / 4810

页数：16

共 50 条

[31] Asymptotic behavior of periodic competition diffusion system
Tang, Yanbin
Zhou, Li
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2006, 36 (03) : 1069 - 1076
[32] ROBUSTNESS OF ASYMPTOTIC PROPERTIES OF EVOLUTION FAMILIES UNDER PERTURBATIONS
Maniar, Lahcen
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2004, 17 (11-12) : 1309 - 1319
[33] EVOLUTION OF FAMILIES OF DOUBLE-PERIODIC AND TRIPLE-PERIODIC ORBITS
BARBANIS, B
CELESTIAL MECHANICS, 1985, 36 (03): : 257 - 271
[34] ASYMPTOTIC-BEHAVIOR OF MATRIX COEFFICIENTS OF ADMISSIBLE REPRESENTATIONS
CASSELMAN, W
MILICIC, D
DUKE MATHEMATICAL JOURNAL, 1982, 49 (04) : 869 - 930
[35] Asymptotic behavior of representations of graded categories with inductive functors
Gan, Wee Liang
Li, Liping
JOURNAL OF PURE AND APPLIED ALGEBRA, 2019, 223 (01) : 188 - 217
[36] Asymptotic expansions of the periodic solutions of nonlinear evolution equations
Lukomsky, VP
Bobkov, VB
NONLINEAR DYNAMICS, 1998, 16 (01) : 1 - 21
[37] Asymptotic Expansions of the Periodic Solutions of Nonlinear Evolution Equations
V. P. Lukomsky
V. B. Bobkov
Nonlinear Dynamics, 1998, 16 : 1 - 21
[38] Floquet versus non-Floquet solutions for a periodic Hamiltonian
Lefebvre, Roland
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2006, 106 (14) : 2848 - 2853
[39] Existence and global asymptotic behavior of S-asymptotically periodic solutions for fractional evolution equation with delay
Li, Qiang
Liu, Lishan
Wu, Xu
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2023, 28 (05): : 906 - 931
[40] Asymptotic Analogs of the Floquet-Lyapunov Theorem for Some Classes of Periodic Systems of Ordinary Differential Equations
Romanova, E. Yu.
RUSSIAN MATHEMATICS, 2010, 54 (04) : 40 - 47

← 1 2 3 4 5 →