Canad. Math. Bull. 54(2011), 364-369
Printed: Jun 2011
Two theorems regarding the
asymptotic behavior of evolution families are established in
terms of the solutions of a certain Lyapunov operator equation.
evolution families, exponential instability, Lyapunov equation
34D05 - Asymptotic properties
47D06 - One-parameter semigroups and linear evolution equations [See also 34G10, 34K30]