On nonuniform exponential dichotomy of evolution operators in Banach spaces

被引：66

作者：

Megan, M ^{[1
]}

Sasu, B ^{[1
]}

Sasu, AL ^{[1
]}

机构：

[1] Univ West, Dept Math, Timisoara 1900, Romania

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2002年 / 44卷 / 01期

关键词：

D O I：

10.1007/BF01197861

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The problem of nonuniform exponential dichotomy of evolution operators in Banach spaces is considered. Connections between this concept and admissibility of the pair (C-0, C-0) are established. Generalizations to the nonuniform case of some results of Van Minh, Rabiger and Schnaubelt ([MRS]) are obtained. It is shown that an implication from the uniform case is not true for nonuniform exponential dichotomy. The results are applicable for general time-varying linear equations with unbounded coefficients in Banach spaces.

引用

页码：71 / 78

页数：8

共 50 条

[11] On uniform exponential trichotomy of evolution operators in Banach spaces
Megan, Mihail
Stoica, Codruta
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2008, 60 (04) : 499 - 506
[12] On Uniform Exponential Trichotomy of Evolution Operators in Banach Spaces
Mihail Megan
Codruţa Stoica
Integral Equations and Operator Theory, 2008, 60 : 499 - 506
[13] On weak exponential stability of evolution operators in Banach spaces
Lupa, Nicolae
Megan, Mihail
Popa, Ioan-Lucian
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (08) : 2445 - 2450
[14] WEAK EXPONENTIAL DICHOTOMY FOR SKEW-EVOLUTION SEMIFLOWS IN BANACH SPACES
Minda, Andrea
Tomescu, Mihaela
Ramneantu, Luminita
ANNALS OF DAAAM FOR 2009 & PROCEEDINGS OF THE 20TH INTERNATIONAL DAAAM SYMPOSIUM, 2009, 20 : 137 - 138
[15] Nonuniform Dichotomy with Growth Rates of Skew-Evolution Cocycles in Banach Spaces
Gaina, Ariana
Megan, Mihail
Boruga , Rovana
AXIOMS, 2023, 12 (04)
[16] On nonuniform exponential stability for skew-evolution semiflows in Banach spaces
Stoica, Codruta
Megan, Mihail
CARPATHIAN JOURNAL OF MATHEMATICS, 2013, 29 (02) : 259 - 266
[17] Roughness of (Z+, Z-)-Nonuniform Exponential Dichotomy for Difference Equations in Banach Spaces
Lupa, Nicolae
SCIENTIFIC WORLD JOURNAL, 2014,
[18] NONUNIFORM DICHOTOMY OF EVOLUTIONARY PROCESSES IN BANACH-SPACES
PREDA, P
MEGAN, M
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1983, 27 (01) : 31 - 52
[19] On the robustness of some general concepts of dichotomy and trichotomy for evolution operators in banach spaces
Crai V.
Acta Scientiarum Mathematicarum, 2017, 83 (3-4): : 487 - 509
[20] Robustness of nonuniform exponential trichotomies in Banach spaces
Barreira, Luis
Valls, Claudia
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 351 (01) : 373 - 381

← 1 2 3 4 5 →