On uniform exponential stability for skew-evolution semiflows on Banach spaces

被引:22
作者
Stoica, Codruta [1 ]
Megan, Mihail [2 ]
机构
[1] Aurel Vlaicu Univ Arad, Dept Math & Comp Sci, Arad 310330, Romania
[2] W Univ Timisoara, Dept Math, Timisoara 300223, Romania
关键词
Skew-evolution semiflow; Uniform exponential stability; Strongly measurable; *-strongly measurable; Strongly integrally stable; *-strongly integrally stable; OPERATORS; EQUATIONS;
D O I
10.1016/j.na.2009.08.019
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 several characterizations for the property of stability for skew-evolution semiflows on Banach spaces. Thus, we obtain generalizations of some well known results due to Barbashin, Datko and Rolewicz in the case of evolution equations in Banach spaces. A unified treatment in the uniform setting is provided. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1305 / 1313
页数:9
相关论文
共 14 条
  • [1] BARBASHIN EA, 1967, INTRO THEORIE STABIL
  • [2] The strong variant of a barbashin theorem on stability of solutions for non-autonomous differential equations in banach spaces
    Buse, Constantin
    Megan, Mihail
    Prajea, Manuela-Suzy
    Preda, Petre
    [J]. INTEGRAL EQUATIONS AND OPERATOR THEORY, 2007, 59 (04) : 491 - 500
  • [3] Datko R., 1970, Journal of Mathematical Analysis and Applications, V32, P610, DOI 10.1016/0022-247X(70)90283-0
  • [4] Datko R., 1972, SIAM J. Math. Anal., V3, P428, DOI [10.1137/0503042, DOI 10.1137/0503042]
  • [5] Perron conditions for uniform exponential expansiveness of linear skew-product flows
    Megan, M
    Sasu, AL
    Sasu, B
    [J]. MONATSHEFTE FUR MATHEMATIK, 2003, 138 (02): : 145 - 157
  • [6] On uniform exponential stability of linear skew-product semiflows in Banach spaces
    Megan, M
    Sasu, AL
    Sasu, B
    [J]. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2002, 9 (01) : 143 - 154
  • [7] Megan M., 2003, ASYMPTOTIC BEHAV EVO
  • [8] 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
  • [9] Megan M, 2008, STUD U BABES-BOL MAT, V53, P17
  • [10] Pazy A., 1983, SEMIGROUPS LINEAR OP, DOI [10.1007/978-1-4612-5561-1, DOI 10.1007/978-1-4612-5561-1]