EQUIVALENT DEFINITIONS FOR UNIFORM EXPONENTIAL TRICHOTOMY OF EVOLUTION OPERATORS IN BANACH SPACES

被引:0
|
作者
Megan, Mihail [1 ]
Stoica, Codruta [2 ]
机构
[1] W Univ Timisoara, Fac Math, Timisoara, Romania
[2] Aurel Vlaicu Univ Arad, Dept Math, Arad, Romania
关键词
Uniform exponential trichotomy; evolution operator;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The aim of this paper is to give necessary and sufficient conditions for the uniform exponential trichotomy property of nonlinear evolution operators in Banach spaces. The obtained results are generalizations for infinite-dimensional case of some well-known results of Elaydi and Hajek on exponential trichotomy of differential systems.
引用
收藏
页码:151 / +
页数:3
相关论文
共 50 条
  • [1] On uniform exponential trichotomy of evolution operators in Banach spaces
    Megan, Mihail
    Stoica, Codruta
    [J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2008, 60 (04) : 499 - 506
  • [2] On Uniform Exponential Trichotomy of Evolution Operators in Banach Spaces
    Mihail Megan
    Codruţa Stoica
    [J]. Integral Equations and Operator Theory, 2008, 60 : 499 - 506
  • [3] On (h, k, μ, ν)-trichotomy of evolution operators in Banach spaces
    Megan, Mihail
    Ceausu, Traian
    Crai , Violeta
    [J]. STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2019, 64 (03): : 387 - 398
  • [4] Exponential dichotomies of evolution operators in Banach spaces
    Lupa, Nicolae
    Megan, Mihail
    [J]. MONATSHEFTE FUR MATHEMATIK, 2014, 174 (02): : 265 - 284
  • [5] Exponential dichotomies of evolution operators in Banach spaces
    Nicolae Lupa
    Mihail Megan
    [J]. Monatshefte für Mathematik, 2014, 174 : 265 - 284
  • [6] On nonuniform exponential dichotomy of evolution operators in Banach spaces
    Mihail Megan
    Bogdan Sasu
    Adina Luminiţa Sasu
    [J]. Integral Equations and Operator Theory, 2002, 44 : 71 - 78
  • [7] On weak exponential stability of evolution operators in Banach spaces
    Lupa, Nicolae
    Megan, Mihail
    Popa, Ioan-Lucian
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (08) : 2445 - 2450
  • [8] On nonuniform exponential dichotomy of evolution operators in Banach spaces
    Megan, M
    Sasu, B
    Sasu, AL
    [J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2002, 44 (01) : 71 - 78
  • [9] On the robustness of some general concepts of dichotomy and trichotomy for evolution operators in banach spaces
    Crai V.
    [J]. Acta Scientiarum Mathematicarum, 2017, 83 (3-4): : 487 - 509
  • [10] Connections between Some Concepts of Polynomial Trichotomy for Noninvertible Evolution Operators in Banach Spaces
    Babutia, Mihai-Gabriel
    Seimeanu, Nicolae Marian
    [J]. INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2015, 2015