Discrete (h,k)-Dichotomy and Remarks on the Boundedness of the Projections-Reference-Cited by-同舟云学术

Discrete (h,k)-Dichotomy and Remarks on the Boundedness of the Projections

Published:2014-07-06 Issue: Volume:2014 Page:1-6
ISSN:2314-5064
Container-title:Journal of Operators
language:en
Short-container-title:Journal of Operators

Author:

Babuţia Mihai-Gabriel¹,Kovács Monteola Ilona¹,Lăpădat Mărioara¹,Megan Mihail²^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Mathematics and Computer Science, West University of Timișoara, 4 Parvan Boulevard, 300223 Timișoara, Romania

2. Academy of Romanian Scientists, 54 Independenţei Street, 050094 Bucharest, Romania

Abstract

The present paper treats a concept of (h,k)-dichotomy for linear discrete systems. Sufficient conditions for the k-boundedness of the projection sequences that give the dichotomy are presented and an illustrative example shows the connection between the growth of the system and the bound of the sequence of projections. Thus the growth of the system that is assumed in the theorems is essential.

Funder

Romanian National Authority for Scientific Research

Publisher

Hindawi Limited

Link

http://downloads.hindawi.com/archive/2014/196345.pdf

Reference17 articles.

1. Exponential dichotomy and trichotomy for difference equations

2. Robustness of a Weaker Notion of Exponential Dichotomy

3. Discrete dichotomies

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