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文章基本信息

  • 标题:On Uniform Exponential Stability of Self adjoint Evolution Family: By Weak Rolewicz Approach
  • 本地全文:下载
  • 作者:Zada Akbar ; IhsanUllah Khan ; Tahir Hussain
  • 期刊名称:Research Journal of Recent Sciences
  • 电子版ISSN:2277-2502
  • 出版年度:2015
  • 卷号:4
  • 期号:2
  • 页码:68-71
  • 语种:English
  • 出版社:International Science Community Association
  • 摘要:In this article we prove that if P = {P(s,t)}s≥t≥0 is a self adjoint and strongly q-periodic continuous evolution family of bounded linear operators acting on a complex or real Hilbert space H then P is uniformly exponentially stable if for each unit vector x ∈ H the integral ∫n∞ ϕ() ds is bounded, whereϕ :R := [0,∞) → R+ is a non-decreasing function such that ϕ(0) = 0 and ϕ(s) >0 for all s ∈ (0∞) .
  • 关键词:EvolutionFamily;uniform exponential stability;strong rolewicz condition
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