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On exponential dichotomy in Banach spaces

Published online by Cambridge University Press:  17 April 2009

Mihail Megan  and
Petre Preda
Mihail Megan
Affiliation:
Department of Mathematics, University of Timisoara, 1900 – Timisoara, RS Romania.
Petre Preda
Affiliation:
Department of Mathematics, University of Timisoara, 1900 – Timisoara, RS Romania.
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Abstract

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In this paper we study the exponential dichotomy property for linear systems, the evolution of which can be described by a semigroup of class C0 on a Banach space. We define the class of (p, q) dichotomic semigroups and establish the connections between the dichotomy concepts and admissibility property of the pair (Lp, Lq) for linear control systems. The obtained results are generalizations of well-known results of W.A. Coppel, J.L. Massera and J.J. Schäffer, K.J. Palmer.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 23 , Issue 2 , April 1981 , pp. 293 - 306
Copyright
Copyright © Australian Mathematical Society 1981

References

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