On the Perron Effect for Exponential Stability of Differential Systems on Time Scales

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Main Authors: Le, Duc Nhien, Le, Huy Tien
Format: Article
Language:other
Published: ĐHQGHN 2018
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Online Access:http://repository.vnu.edu.vn/handle/VNU_123/61014
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Institution: Vietnam National University, Hanoi
Language: other
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spelling oai:112.137.131.14:VNU_123-610142018-01-09T20:07:28Z On the Perron Effect for Exponential Stability of Differential Systems on Time Scales Le, Duc Nhien Le, Huy Tien Exponential stability Perron effect time scales linear dynamic equation p. 1-9 In 2007, N. H. Du and L. H. Tien \cite{Du} shown that the exponential stability of the linear equation on time scales implies the exponential stability of the suitable small enough Lipchitz perturbed equation. In this paper, we shall prove that if the perturbation is arbitrary small order $1$ then the above argument is not true which is called Perron effect. 2018-01-09T08:20:05Z 2018-01-09T08:20:05Z 2017 Article 2588-1124. http://repository.vnu.edu.vn/handle/VNU_123/61014 other Vol 33;No 4 application/pdf ĐHQGHN
institution Vietnam National University, Hanoi
building VNU Library & Information Center
country Vietnam
collection VNU Digital Repository
language other
topic Exponential stability
Perron effect
time scales
linear dynamic equation
spellingShingle Exponential stability
Perron effect
time scales
linear dynamic equation
Le, Duc Nhien
Le, Huy Tien
On the Perron Effect for Exponential Stability of Differential Systems on Time Scales
description p. 1-9
format Article
author Le, Duc Nhien
Le, Huy Tien
author_facet Le, Duc Nhien
Le, Huy Tien
author_sort Le, Duc Nhien
title On the Perron Effect for Exponential Stability of Differential Systems on Time Scales
title_short On the Perron Effect for Exponential Stability of Differential Systems on Time Scales
title_full On the Perron Effect for Exponential Stability of Differential Systems on Time Scales
title_fullStr On the Perron Effect for Exponential Stability of Differential Systems on Time Scales
title_full_unstemmed On the Perron Effect for Exponential Stability of Differential Systems on Time Scales
title_sort on the perron effect for exponential stability of differential systems on time scales
publisher ĐHQGHN
publishDate 2018
url http://repository.vnu.edu.vn/handle/VNU_123/61014
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