On Uniform Exponential Trichotomy in Banach Spaces

Kovács, Monteola Ilona

doi:10.2478/awutm-2014-0006

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2014

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“…These concepts were studied in an extensive manner from the point of view of uniform, nonuniform, exponential and polynomial behaviors ( see, for example: [1], [2], [3], [5], [8], [9], [11], [13], [15], [16], [17], [18], [19] ).…”

Section: Introductionmentioning

confidence: 99%

On (h; k)-Dichotomy and (h; k)-Trichotomy of Noninvertible Evolution Operators in Banach Spaces

Kovács¹,

Megan²,

Mihiţ³

2014

Annals of West University of Timisoara - Mathematics

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Abstract. The paper considers some concepts of (h, k)-dichotomy and (h, k)-trichotomy for noninvertible evolution operators in Banach spaces. A characterization of the (h, k)-trichotomy of an evolution operator in terms of (h, k)-dichotomy for two associated evolution operators is given. As applications of this result, characterizations for nonuniform exponential trichotomy and nonuniform polynomial trichotomy are obtained.

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