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Mean ergodicity of regularized solution families. (English) Zbl 1218.47020
The author investigates the mean ergodicity of \((a,k)\)-regularized solution families for nondensely defined generators. Applications of the main result to \(n\)-times integrated semigroups are also presented.
MSC:
47A35 Ergodic theory of linear operators
47D62 Integrated semigroups
45N05 Abstract integral equations, integral equations in abstract spaces
47D06 One-parameter semigroups and linear evolution equations
47D09 Operator sine and cosine functions and higher-order Cauchy problems
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