A theorem of Rolewicz's type for measurable evolution families in Banach spaces

Let $varphi$ be a positive and non-decreasing function defined on the real half-line and ${mathcal U}$ be a strongly measurable, exponentially bounded evolution family of bounded linear operators acting on a Banach space and satisfing a certain measurability condition as in Theorem 1 below. We prove...

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Bibliographic Details
Main Authors: Constantin Buse, Sever S. Dragomir
Format: Article
Language:English
Published: Texas State University 2001-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2001/70/abstr.html