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Nonuniform dichotomy of evolutionary processes in Banach spaces

Published online by Cambridge University Press:  17 April 2009

Petre Preda  and
Mihail Megan
Petre Preda
Affiliation:
Department of Mathematics, University of Timişoara, 1900 – Timişoara, R.S. Romaânia.
Mihail Megan
Affiliation:
Department of Mathematics, University of Timişoara, 1900 – Timişoara, R.S. Romaânia.
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Abstract

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In this paper we study nonuniform dichotomy concepts of linear evolutionary processes which are defined in a general Banach space and whose norms can increase no faster than an exponential. Connections between the dichotomy concepts and (B, D) admissibility properties are established. These connections have been partially accomplished in an earlier paper by the authors for the case when the process was a semigroup of class C0 and (B, D) = [(Lp, Lq).

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 27 , Issue 1 , February 1983 , pp. 31 - 52
Copyright
Copyright © Australian Mathematical Society 1983

References

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