Petre Preda and Claudia Morariu: Nonuniform ordinary dichotomy for evolution families on the real line, p.415-425

Abstract:

This paper presents some Perron-type results for the nonuniform ordinary dichotomy of evolution families on the real line with nonuniform exponential growth. It it also mentioned the notion of the admissibility of the pair $( \mathcal{L}^1(X), \mathcal{L}^{\infty}(X))$ to an evolution family. This notion is used to obtain a result for the nonuniform ordinary dichotomy for an evolution family on the real line.

Key Words: Evolution family, admissibility, dichotomy on $\mathbb{R}$.

2000 Mathematics Subject Classification: Primary: 34D05;
Secondary: 34C35, 47D99.

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