Admissibility and Non-Uniform Dichotomy for Differential Systems

Preda, Ciprian I and Dragomir, Sever S (2004) Admissibility and Non-Uniform Dichotomy for Differential Systems. Research report collection, 7 (1).

Abstract

The problem of nonuniform exponential dichotomy of linear differential systems in Banach spaces is discussed. It is established a connection between the admissibility of a pair of certain function spaces which are translations invariant, on one hand, and the nonuniform exponential dichotomy of differential systems, on the other. Also, Some results due to Hartman, Massera, Schäffer and Coppel are generalized as well.

Item type Article
URI https://vuir.vu.edu.au/id/eprint/17152
Subjects Historical > FOR Classification > 0101 Pure Mathematics
Historical > FOR Classification > 0102 Applied Mathematics
Current > Collections > Research Group in Mathematical Inequalities and Applications (RGMIA)
Keywords evolutionary processes, exponential dichotomy
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