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ON ${\bf (a,b)}$-DICHOTOMY FOR EVOLUTIONARY PROCESSES ON A HALF-LINE

Published online by Cambridge University Press:  19 May 2004

PETRE PREDA ,
ALIN POGAN  and
CIPRIAN PREDA
PETRE PREDA
Affiliation:
Department of Mathematics, West University of Timişoara, Bd. V. Pârvan, No. 4, 300223 - Timişoara, Romania e-mail: preda@math.uvt.ro, e-mail: ciprian.preda@fse.uvt.ro
ALIN POGAN
Affiliation:
Department of Mathematics, West University of Timişoara, Bd. V. Pârvan, No. 4, 300223 - Timişoara, Romania e-mail: preda@math.uvt.ro, e-mail: ciprian.preda@fse.uvt.ro
CIPRIAN PREDA
Affiliation:
Department of Mathematics, West University of Timişoara, Bd. V. Pârvan, No. 4, 300223 - Timişoara, Romania e-mail: preda@math.uvt.ro, e-mail: ciprian.preda@fse.uvt.ro
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Abstract

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In this paper we investigate the most general dichotomy concept of evolutionary processes. This dichotomy concept includes many interesting situations, among them we note the nonuniform dichotomy. We characterize the $(a,b)$-dichotomy in terms of the admissibility of the pair $(L^1_a, L^{\infty}_b)$. Also, generalizations of the results of [20], [23] are obtained.

Keywords

34D0547D0693D20
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 46 , Issue 2 , May 2004 , pp. 217 - 225
Copyright
2004 Glasgow Mathematical Journal Trust