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hal-00283213, version 1

Exponential Instability of Skew-Evolution Semiflows in Banach Spaces

Mihail Megan () 1, Codruta Stoica () 2

Studia Universitatis Babes-Bolyai, Seria Mathematica LIII, 1 (2008) 17-24

Abstract: This paper emphasizes a couple of characterizations for the exponential instability property of skew-evolution semiflows in Banach spaces, defined by means of evolution semiflows and evolution cocycles. Some Datko type results for this asymptotic behavior are proved. There is provided a unified treatment for the uniform case.

  • 1:  Faculte de Mathematiques (UVT)
  • Universite de Timisoara
  • 2:  Institut de Mathématiques de Bordeaux (IMB)
  • CNRS : UMR5251 – Université Sciences et Technologies - Bordeaux I – Université Victor Segalen - Bordeaux II
  • Domain : Mathematics/Classical Analysis and ODEs
  • Keywords : Evolution semiflow – evolution cocycle – skew-evolution semiflow – instability – exponential instability – integral instability
 
  • hal-00283213, version 1
  • http://hal.archives-ouvertes.fr/hal-00283213
  • oai:hal.archives-ouvertes.fr:hal-00283213
  • From: Codruta Stoica <>
  • Submitted on: Thursday, 29 May 2008 13:31:18
  • Updated on: Thursday, 29 May 2008 14:08:30