Asymptotic Behavior of Bounded Solutions to a First Order Gradient-like System

Asymptotic Behavior of Bounded Solutions to a First Order Gradient-like System

In this paper, we prove the long time behavior of bounded solutions to a first order gradient-like system with low damping and perturbation terms. Our convergence results are obtained under some hypotheses of KurdykaLojasiewicz inequality and the angle and comparability condition. This is an Open A...

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Main Authors: Minh-Phuong Tran, Thanh-Nhan Nguyen
Format: Article
Language:English
Published: Ton Duc Thang University 2019-03-01
Series:Journal of Advanced Engineering and Computation
Online Access:http://jaec.vn/index.php/JAEC/article/view/227
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spelling doaj-6733dc48cc114afc9fd5eb7d3cae6b3f2020-11-25T01:20:45ZengTon Duc Thang UniversityJournal of Advanced Engineering and Computation1859-22442588-123X2019-03-013131231910.25073/jaec.201931.22785Asymptotic Behavior of Bounded Solutions to a First Order Gradient-like SystemMinh-Phuong Tran0Thanh-Nhan Nguyen1Ton Duc Thang UniversityHo Chi Minh City University of EducationIn this paper, we prove the long time behavior of bounded solutions to a first order gradient-like system with low damping and perturbation terms. Our convergence results are obtained under some hypotheses of KurdykaLojasiewicz inequality and the angle and comparability condition. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium provided the original work is properly cited.http://jaec.vn/index.php/JAEC/article/view/227
collection DOAJ
language English
format Article
sources DOAJ
author Minh-Phuong Tran
Thanh-Nhan Nguyen
spellingShingle Minh-Phuong Tran
Thanh-Nhan Nguyen
Asymptotic Behavior of Bounded Solutions to a First Order Gradient-like System
Journal of Advanced Engineering and Computation
author_facet Minh-Phuong Tran
Thanh-Nhan Nguyen
author_sort Minh-Phuong Tran
title Asymptotic Behavior of Bounded Solutions to a First Order Gradient-like System
title_short Asymptotic Behavior of Bounded Solutions to a First Order Gradient-like System
title_full Asymptotic Behavior of Bounded Solutions to a First Order Gradient-like System
title_fullStr Asymptotic Behavior of Bounded Solutions to a First Order Gradient-like System
title_full_unstemmed Asymptotic Behavior of Bounded Solutions to a First Order Gradient-like System
title_sort asymptotic behavior of bounded solutions to a first order gradient-like system
publisher Ton Duc Thang University
series Journal of Advanced Engineering and Computation
issn 1859-2244
2588-123X
publishDate 2019-03-01
description In this paper, we prove the long time behavior of bounded solutions to a first order gradient-like system with low damping and perturbation terms. Our convergence results are obtained under some hypotheses of KurdykaLojasiewicz inequality and the angle and comparability condition. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium provided the original work is properly cited.
url http://jaec.vn/index.php/JAEC/article/view/227
work_keys_str_mv AT minhphuongtran asymptoticbehaviorofboundedsolutionstoafirstordergradientlikesystem
AT thanhnhannguyen asymptoticbehaviorofboundedsolutionstoafirstordergradientlikesystem
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