DELAY_DIFFERENTIAL_EQUATIONS

作品数:96被引量:116H指数:5
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相关作者:丁效华庾建设王媛媛更多>>
相关机构:华东师范大学中国科学院数学与系统科学研究院湖南大学哈尔滨工业大学更多>>
相关期刊:《Acta Mathematicae Applicatae Sinica》《Acta Mathematica Scientia》《Journal of Ocean Engineering and Science》《Chinese Quarterly Journal of Mathematics》更多>>
相关基金:国家自然科学基金中国博士后科学基金国家教育部博士点基金福建省自然科学基金更多>>
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Existence and Finite Time Stability of Nonlinear Riemann-Liouville Fractional Delay Differential Equations
《Journal of Mathematical Research with Applications》2024年第2期225-238,共14页Renjie PAN Xiaocheng HU Zhenbin FAN 
Supported by the National Natural Science Foundation of China(Grant No.11871064).
This article explores the existence results and finite time stability of nonlinear Riemann-Liouville fractional oscillatory differential equations of order 1<■<2 with pure delay.The approaches we adopted to explore t...
关键词:fractional oscillatory differential equations delay differential equation finite time stability 
Exact Solutions and Finite Time Stability of Linear Conformable Fractional Systems with Pure Delay
《Computer Modeling in Engineering & Sciences》2023年第2期927-940,共14页Ahmed M.Elshenhab Xingtao Wang Fatemah Mofarreh Omar Bazighifan 
Supporting Project No.(PNURSP2022R27),Princess Nourah bint Abdulrahman Uni-versity,Riyadh,Saudi Arabia。
We study nonhomogeneous systems of linear conformable fractional differential equations with pure delay.By using new conformable delayed matrix functions and the method of variation,we obtain a representation of their...
关键词:Representation of solutions conformable fractional derivative conformable delayed matrix function conformable fractional delay differential equations finite time stability 
An analysis of the delay-dependent HIV-1 protease inhibitor model
《International Journal of Biomathematics》2018年第3期1-22,共22页M. Divya M. Pitchaimani 
In this paper, we have studied about the sensitivity analysis of the human immunodeficiency virus (HIV) protease inhibitor (PI) model and estimated the length of the delay. We have fabricated an HIV PI model accom...
关键词:HIV dynamics treatment delay differential equations sensitivity STABILITY 
Numerical Solution of System of Fractional Delay Differential Equations Using Polynomial Spline Functions
《Applied Mathematics》2016年第6期518-526,共9页Mahmoud N. Sherif 
The aim of this paper is to approximate the solution of system of fractional delay differential equations. Our technique relies on the use of suitable spline functions of polynomial form. We introduce the description ...
关键词:Fractional Differential Equation Spline Functions Taylor Expansion STABILITY 
DELAY DIFFERENTIAL EQUATIONS UNDER NONLINEAR IMPULSIVE CONTROL AND APPLICATIONS TO NEURAL NETWORK MODELS被引量:1
《Journal of Systems Science & Complexity》2012年第4期707-719,共13页Yong ZHAO Qishao LU Zhaosheng FENG Yonghui XIA 
supported by Natural Science Foundation of China under Grant Nos.10972018 and 11072013
In this paper, a class of delay differential equations with nonlinear impulsive control is discussed. Based on the nonsmooth analysis, criteria of stability are obtained for delay differential equations with nonlinear...
关键词:stability. Delay differential equation HOMEOMORPHISM impulsive control nonsmooth analysis 
Delay-dependent Stability Analysis of Multistep Methods for Delay Differential Equations被引量:2
《Acta Mathematicae Applicatae Sinica》2009年第4期607-616,共10页Cheng-ming Huang Yang-zi Hu Hong-jiong Tian 
supported by National Natural Science Foundation of China(Grant No.10671078);the Program for New Century Excellent Talents in University,the State Education Ministry of China. supported in part by E-Institutes of Shanghai Municipal Education Commission (No.E03004);National Natural Science Foundation of China(No.10671130);Shanghai Science and Technology Commission(No.06JC14092);Shuguang Project of Shanghai Municipal Education Commission(No.06SG45);the Shanghai Leading Academic Discipline Project(No.S30405)
This paper deals with the delay-dependent stability of numerical methods for delay differential equations. First, a stability criterion of Runge-Kutta methods is extended to the case of general linear methods. Then, l...
关键词:Delay differential equations delay-dependent stability asymptotic stability ^-(O)-stability linearmultistep methods general linear methods 
ON STABILITY OF SOLUTIONS OF CERTAIN FOURTH-ORDER DELAY DIFFERENTIAL EQUATIONS被引量:5
《Applied Mathematics and Mechanics(English Edition)》2006年第8期1141-1148,共8页Cemil Tunc 
By the use of the Liapunov functional approach, a new result is obtained to ascertain the asymptotic stability of zero solution of a certain fourth-order non-linear differential equation with delay. The established re...
关键词:non-linear delay differential equations of fourth order STABILITY Liapunov functional approach 
STABILITY OF THEORETICAL SOLUTION AND NUMERICAL SOLUTION OF NONLINEAR DIFFERENTIAL EQUATIONS WITH PIECEWISE DELAYS被引量:2
《Journal of Computational Mathematics》2005年第4期393-400,共8页Li-ping Wen Shou-fu Li 
This paper is concerned with the stability of theoretical solution and numerical solution of a class of nonlinear differential equations with piecewise delays. At first, a sufficient condition for the stability of the...
关键词:STABILITY Delay differential equations Linear multistep methods 
H-stability of the Runge-Kutta methods with general variable stepsize for system of pantograph equations with two delay terms
《Journal of Harbin Institute of Technology(New Series)》2003年第4期385-387,共3页徐阳 刘明珠 赵景军 
SponsoredbytheNationalNaturalScienceFoundationofChina(GrantNo .10 2 710 3 6) .
This paper deals with H-stability of the Runge-Kutta methods with a general variable stepsize for the system of pantograph equations with two delay terms. It is shown that the Runge-Kutta methods with a regular matrix...
关键词:delay differential equations STABILITY Runge-Kutta method 
ASYMPTOTIC STABILITY FOR GAUSS METHODS FOR NEUTRAL DELAY DIFFERENTIAL EQUATIONS被引量:3
《Journal of Computational Mathematics》2002年第2期217-224,共8页Sidibe, BS Liu, MZ 
the National Natural Science Foundation of China.
In [4] we proved that all Gauss methods areNtau(0)-compatible for neutral delay differential equations (NDDEs) of the form y'(t) = ay(t) + by(t-tau) + cy'(t-tau), t >0, (0.1) y(t) = g(t), -tau less than or equal to t ...
关键词:delay differential equations STABILITY Runge-Kutta methods 
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