A survey on perturbation invariance of quaternionic exponentially dichotomous operators

Authors

  • R.P. Agarwal Texas A&M University-Kingsville, Kingsville, TX, USA
  • H. Liu Yunnan University Kunming, China
  • Z. Liu Yunnan University Kunming, China
  • G. Qin Yunnan University Kunming, China
  • C. Wang Yunnan University Kunming, China

DOI:

https://doi.org/10.31926/but.mif.2024.4.66.2.2

Keywords:

quaternionic operators, exponential dichotomy, perturbation

Abstract

In this review paper, we present some basic notions and properties of quaternionic exponentially dichotomous operators. Some perturbation results of quaternionic exponentially dichotomous operators are illustrated which will help to consider the exponential dichotomous solutions to quaternionic evolution equations through semigroup theory.

Author Biographies

R.P. Agarwal, Texas A&M University-Kingsville, Kingsville, TX, USA

Department of Mathematics;
Florida Institute of Technology 150 West University Boulevard, Melbourne, USA

H. Liu, Yunnan University Kunming, China

Department of Mathematics, Yunnan 650091

Z. Liu, Yunnan University Kunming, China

Department of Mathematics, Yunnan 650091

G. Qin, Yunnan University Kunming, China

Department of Mathematics, Yunnan 650091

C. Wang, Yunnan University Kunming, China

Department of Mathematics, Yunnan 650091

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Published

2024-09-03

Issue

Vol. 4(66) No. 2 (2024)

Section

MATHEMATICS