Discrete-time theorems for the dichotomy of one-parameter semigroups

Ciprian Preda

doi:10.3934/cpaa.2008.7.457

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2008, Volume 7, Issue 2: 457-463. Doi: 10.3934/cpaa.2008.7.457

This issue Previous Article Perturbation from symmetry and multiplicity of solutions for elliptic problems with subcritical exponential growth in $\mathbb{R} ^2$ Next Article Errata

Discrete-time theorems for the dichotomy of one-parameter semigroups

Ciprian Preda^1,

1.
Department of Mathematics, University of California, Los Angeles, CA 90095

Received: January 31, 2007

Revised: June 30, 2007

Published: February 2008

Abstract Related Papers Cited by

Abstract

Discrete-time sufficient conditions for the dichotomy of $C_0$-semigroups are obtained in the general case when it is not required that the kernel of the dichotomic projector to be $T(t)$-invariant. Thus are extended known results due to Datko, Pazy, Zabczyk.

Keywords:

One-parameter semigroup,
dichotomy.

Mathematics Subject Classification: 34D09, 47D06.

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