A CHARACTERIZATION OF GENERALIZED EXPONENTIAL DICHOTOMY

Liugen Wang; Yonghui Xia; Ninghong Zhao

doi:10.11948/2015052

2015 Volume 5 Issue 4

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Liugen Wang, Yonghui Xia, Ninghong Zhao. A CHARACTERIZATION OF GENERALIZED EXPONENTIAL DICHOTOMY[J]. Journal of Applied Analysis & Computation, 2015, 5(4): 662-687. doi: 10.11948/2015052

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Liugen Wang, Yonghui Xia, Ninghong Zhao. A CHARACTERIZATION OF GENERALIZED EXPONENTIAL DICHOTOMY[J]. Journal of Applied Analysis & Computation, 2015, 5(4): 662-687. doi: 10.11948/2015052

A CHARACTERIZATION OF GENERALIZED EXPONENTIAL DICHOTOMY

1 Department of Economics, Zhejiang University, Hangzhou, 310027, China;
2 YongAn Futures Co. Ltd, Hangzhou, 310011, China;
3 Department of Mathematics, Zhejiang Normal University, Jinhua, 310004, China

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Abstract

Abstract

This paper studies some important properties of the notion generalized exponential dichotomy. A new notion called generalized bounded growth is introduced to describe the characterization of generalized exponential dichotomy. The relations between generalized bounded growth and generalized exponential dichotomy are established.
- Generalized exponential dichotomy /
- linear system
MSC: 93B18;34D09;34D10;34D20

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References

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