Hostname: page-component-7dd5485656-frp75 Total loading time: 0 Render date: 2025-10-31T04:43:11.226Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

Information

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