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Lyapunov Theorems for the Asymptotic Behavior of Evolution Families on the Half-Line

  Published:2010-08-26
 Printed: Jun 2011
  • Ciprian Preda,
    Ciprian Preda, Department of Mathematics, UCLA, Los Angeles, CA 90095, U.S.A.
  • Petre Preda,
    Petre Preda, Department of Mathematics, West University of Timisoara, Romania
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Abstract

Two theorems regarding the asymptotic behavior of evolution families are established in terms of the solutions of a certain Lyapunov operator equation.
Keywords: evolution families, exponential instability, Lyapunov equation evolution families, exponential instability, Lyapunov equation
MSC Classifications: 34D05, 47D06 show english descriptions Asymptotic properties
One-parameter semigroups and linear evolution equations [See also 34G10, 34K30]
34D05 - Asymptotic properties
47D06 - One-parameter semigroups and linear evolution equations [See also 34G10, 34K30]
 

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