Authors:
Fangfang JiangDepartment of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang, 310036, China

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Jianhua ShenDepartment of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang, 310036, China

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Abstract

We consider the asymptotic stability problems by Lyapunov functionals V for a class of functional differential equations with impulses of the form x′(t)=f(t,xt), xRn, tt0, ttk; △x=Ik(t,x(t)), t=tk, kZ+. Some new asymptotic stability results are presented by using an idea originated by Burton and Makay [6] and developed by Zhang [1]. We generalize some known results about impulsive functional differential equations in the literature in which we only require the derivative of V to be negative definite on a sequence of intervals In=[sn,ξn] which may or may not be contained in the sequence of impulsive time intervals [tn,tn+1).

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation
1950
Volumes
per Year
3
Issues
per Year
6
Founder Magyar Tudományos Akadémia  
Founder's
Address
H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
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Address
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CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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