On weak exponential stability of evolution operators in Banach spaces

被引:13
|
作者
Lupa, Nicolae [1 ]
Megan, Mihail [1 ]
Popa, Ioan-Lucian [1 ]
机构
[1] W Univ Timisoara, Dept Math, Fac Math & Comp Sci, Timisoara 300223, Romania
关键词
Evolution operators; Weak exponential stability; Uniform exponential stability;
D O I
10.1016/j.na.2010.06.017
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 give some characterizations for weak exponential stability properties of evolution operators in Banach spaces. Variants for weak exponential stability of some well-known results in uniform stability theory (Buse and Niculescu (2009) [1], Daleckij and Krein (1974) [2], Datko (1973) [3], Rolewicz (1986) [7], Stoica and Megan (2009) [8]) are obtained. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2445 / 2450
页数:6
相关论文
共 50 条
  • [41] On (h, k)-Instabilities of Evolution Operators in Banach Spaces
    Minda, Andrea Amalia
    NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS I-III, 2010, 1281 : 444 - 447
  • [42] On (h, k, μ, ν)-trichotomy of evolution operators in Banach spaces
    Megan, Mihail
    Ceausu, Traian
    Crai , Violeta
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2019, 64 (03): : 387 - 398
  • [43] EXPONENTIAL INSTABILITY OF SKEW-EVOLUTION SEMIFLOWS IN BANACH SPACES
    Megan, Mihail
    Stoica, Codruta
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2008, 53 (01): : 17 - 24
  • [44] Exponential instability of skew-evolution semiflows in Banach spaces
    Mihaela, Tomescia
    Amalia, Minda Andrea
    Victoria, Anghel Cornelia
    Paraschiva, Popovici
    PROCEEDINGS OF THE 2009 INTERNATIONAL CONFERENCE ON SIGNAL PROCESSING SYSTEMS, 2009, : 976 - +
  • [46] EXPONENTIAL STABILITY OF LINEAR AND ALMOST PERIODIC SYSTEMS ON BANACH SPACES
    Buse, Constantin
    Lupulescu, Vasile
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2003,
  • [47] Weak and Strong Convergence Theorems for Zeroes of Accretive Operators in Banach Spaces
    Song, Yanlai
    Ceng, Luchuan
    JOURNAL OF APPLIED MATHEMATICS, 2014,
  • [48] A strong and weak convergence theorem for resolvents of accretive operators in banach spaces
    Iemoto, Shigeru
    Takahashi, Wataru
    TAIWANESE JOURNAL OF MATHEMATICS, 2007, 11 (03): : 915 - 928
  • [49] WEAK CONVERGENCE OF ITERATIVE METHODS FOR TWO ACCRETIVE OPERATORS IN BANACH SPACES
    Wang, Yuan-Heng
    Chebbi, Souhail
    Xu, Hong-Kun
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (10) : 1937 - 1947
  • [50] Weak Type Estimates of Singular Integral Operators on Morrey–Banach Spaces
    Kwok-Pun Ho
    Integral Equations and Operator Theory, 2019, 91