Original scientific paper

Nonuniform exponential unstability of evolution operators in Banach spaces

Mihail Megan
Adina Luminita Sasu
Bogdan Sasu

Abstract

In this paper we consider a nonuniform unsrability concept for evolution operators in Banach spaces. The relationship between this concept and the Perron condition is studied. Generalizations to the nonuniform case of some results of Van Minh, Rabiger and Schnaubelt are obtained. The theory we present here is applicable for general time - varying linear equations in Banach spaces.

Keywords

Evolution operator; exponential unstability; admissibility

Hrčak ID:

4841

URI

https://hrcak.srce.hr/4841

Publication date:

1.12.2001.

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