THIRD-ORDER

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OSCILLATION OF THIRD-ORDER NONLINEAR DELAY DIFFERENTIAL EQUATIONS被引量：4
《Annals of Applied Mathematics》2020年第4期416-425,共10页Jianli Yao Xiaoping Zhang Jiangbo Yu 
This work was supported by Youth Program of National Natural Science Foundation of China under Grant 61304008;Youth Program of Natural Science Foundation of Shandong Province under Grant ZR2013FQ033.
In this paper, we give some new criteria for the asymptotic behavior and oscillation of third-order delay differential equation. The oscillation of the studied equation is studied under two conditions, and our results...
关键词：nonlinear differential equation DELAY THIRD-ORDER OSCILLATION 
NEW OSCILLATION CRITERIA FOR THIRD-ORDER HALF-LINEAR ADVANCED DIFFERENTIAL EQUATIONS
《Annals of Applied Mathematics》2020年第3期309-330,共22页Jianli Yao Xiaoping Zhang Jiangbo Yu 
Youth Program of National Natural Science Foundation of China under Grant 61304008;Youth Program of Natural Science Foundation of Shandong Province under Grant ZR2013FQ033
The theme of this article is to provide some sufficient conditions for the asymptotic property and oscillation of all solutions of third-order half-linear differential equations with advanced argument of the form(r2(t...
关键词：third-order differential equation advanced argument oscillation asymptotic behavior noncanonical operators 
STUDY OF THE STABILITY BEHAVIOUR AND THE BOUNDEDNESS OF SOLUTIONS TO A CERTAIN THIRD-ORDER DIFFERENTIAL EQUATION WITH A RETARDED ARGUMENT
《Annals of Applied Mathematics》2019年第1期99-110,共12页A.M.Mahmoud D.A.M.Bakhit 
Lyapunov direct method is employed to investigate the asymptotic behaviour and the boundedness of solutions to a certain third-order differential equation with delay and some new results are obtained. Our results impr...
关键词：delay DIFFERENTIAL EQUATIONS ASYMPTOTIC BEHAVIOUR stability THIRD-ORDER DIFFERENTIAL EQUATIONS Lyapunov functional 
EXISTENCE OF PERIODIC SOLUTION FOR A KIND OF THIRD-ORDER GENERALIZED NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATION WITH VARIABLE PARAMETER
《Annals of Applied Mathematics》2018年第3期285-301,共17页A.M.Mahmoud E.S.Farghaly 
In this paper, we investigate a third-order generalized neutral functional differential equation with variable parameter. Based on Mawhin’s coincidence degree theory and some analysis skills, we obtain sufficient con...
关键词：existence of periodic solution third-order neutral functional differential equation variable parameter Mawhin's continuation theorem coincidence degree 
ON THE BOUNDEDNESS OF A CLASS OF NONLINEAR DYNAMIC EQUATIONS OF THE THIRD ORDER
《Annals of Applied Mathematics》2017年第1期102-110,共9页Ningning Zhu Fanwei Meng 
partially supported by the NSF of China(Grant.11271225);Program for Scientific Research Innovation Team in Colleges and Universities of Shandong Province
In this paper, a modified nonlinear dynamic inequality on time scales is used to study the boundedness of a class of nonlinear third-order dynamic equations on time scales. These theorems contain as special cases resu...
关键词：time scales dynamic equation integral inequality bounded-ness THIRD-ORDER 
ON ALMOST AUTOMORPHIC SOLUTIONS OF THIRD-ORDER NEUTRAL DELAY-DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT被引量：1
《Annals of Applied Mathematics》2016年第4期429-438,共10页Rongkun Zhuang Hongwu Wu 
supported by National Natural Science Foundation of China(Grant Nos.11271380,11501238);Natural Science Foundation of Guangdong Province(Grant Nos.2014A030313641,2016A030313119,S2013010013212);the Major Project Foundation of Guangdong Province Education Department(No.2014KZDXM070)
We present some conditions for the existence and uniqueness of almost automorphic solutions of third order neutral delay-differential equations with piecewise constant of the form（X（t） ＋px（t - 1））″′, = a0x（...
关键词：almost automorphic solutions neutral delay equation piece-wise constant argument 
ON THE HYERS-ULAM STABILITY OF A THIRD-ORDER NONLINEAR DIFFERENTIAL EQUATION
《Annals of Applied Mathematics》2015年第4期437-445,共9页Weimin Wang Yuqiang Feng Anli Zheng 
supported by the Doctoral Fund of Education Ministry of China(20134219120003);the Natural Science Foundation of Hubei Province(2013CFA131);Hubei Province Key Laboratory of Systems Science in Metallurgical Process(z201302)
In this paper, the Hyers-Ulam stability of a third-order nonlinear differential equa- tion is investigated. By the integrating method and a Gronwall type inequality, the stability results are obtained in different sit...
关键词：Hyers-Ulam stability third order differential equation Gronwall＇s inequality 
STABILITY OF SOLUTIONS FOR CERTAIN THIRD-ORDER NONLINEAR STOCHASTIC DELAY DIFFERENTIAL EQUATIONS
《Annals of Applied Mathematics》2015年第3期253-261,共9页A.M.A.Abou-El-Ela A.I.Sadek A.M.Mahmoud E.S.Farghaly 
In this paper, we investigate stochastic asymptotic stability of the zero solution for certain third-order nonlinear stochastic delay differential equations by constructing Lyapunov functionals.
关键词：asymptotic stability Lyapunov functional stochastic delay differen-tial equations third-order nonlinear differential equations 
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