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《Journal of Natural Science of Hunan Normal University》 2007-04
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Oscillation of Impulsive Neutral Delay Differential Equations with Positive and Negative Coefficients

YU Ai-wen,LI Jian-li(College of Mathematics and Computer Science,Hunan Normal University,Changsha 410081,China)  
Effective sufficient conditions for the oscillation of all solutions of impulsive neutral delay differential equations of the form [x(t)-R(t)x(t-r)]′+P(t)x(t-r)-Q(t)x(t-δ)=0,t≥t0,(*) x(τ+k)=bkx(τk),k=1,2,…(**)are established.It is seen that the oscillatory behavior of all solutions of Eq(*) can be inherited by system(*) and(**) under certain impulsive perturbations(**).
【Fund】: 国家自然科学基金资助项目(10571050);; 湖南省教育厅青年资助项目(07B041);; 湖南师范大学优秀青年计划基金资助项目(07B041)
【CateGory Index】: O175
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 Shen Jianhua & Wang Zhicheng(Hunan University);OSCILLATION AND ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF DELAY DIFFERENTIAL EQUATIONS WITH IMPULSES[J];微分方程年刊(英文版);1994-01
【Co-references】
Chinese Journal Full-text Database 9 Hits
1 YAN Shui-xian,GAO Shu-jing,ZOU Qin(College of Mathematics and Computer Science,Gannan Normal University,Ganzhou 341000,China);The Latest Research Progress in Impulsive Differential Dynamic System[J];Journal of Gannan Normal University;2008-03
2 LIAO Liu-sheng , WANG Xiao-ping (College of Mathematics and Econometrics,Hunan Univ,Changsha 410082,China);Asymptotic Behavior of Solutions of Neutral Delay Differential Equations with Positive and Negative Coefficients[J];Journal of Hunan University(Naturnal Science);2001-02
3 MAO Wei-hua (Department of Mathematics, South China Normal University, Guangzhou 510631, China);OSCILLATIONS OF SECONDORDER NONLINEAR IMPULSE DIFFERENTIAL EQUAITONS WITH DELAYS[J];Journal of South China Normal University(Natural Science);2002-01
4 LIU Xing-yuan(Department of Mathematics,College of Shaoyang,Shaoyang 422000, Hunan);Oscillation for Neutral Differential Equations with Positive and Negative Coefficients[J];Journal of Sichuan Normal University(Natural Science);2006-02
5 DENG Li Hu (Department of Applied Mathematics, Beijing institute of Technology, Beijing 100081, P. R. China) (Department of Mathematics, Dongguan Institute of Technology, Dongguan 523106, P. R. China) (E-mail: lihudeng@21cn.com) GE wei Gao (Department of;Oscillation Criteria of Solution for Impulsive Delay Parabolic Equation[J];Acta Mathematica Sinica;2001-03
6 ZHANG Ying,ZHAO Ai-min(1.Department of Mathematic,Lvliang Higher College,Shanxi Lvliang 033000,China)(2.School of Mathematical Sciences,Shanxi University,Shanxi Taiyuan 033006, China);Oscillatory for First Order Neutral Delay Differential Equations[J];Mathematics in Practice and Theory;2008-16
7 LI Wei-na1,HE Hong-qing2,ZHANG Zhi-yu3(1.North University of China,Taiyuan 030051,China)(2.School of Economics and Management,Yanan University, Yanan 716000,China)(3.Taiyuan Institute of Technology,Taiyuan 030008,China);Oscillations of Second-order Nonlinear Impulsive Differential Equations[J];Mathematics in Practice and Theory;2008-20
8 LUO Liping (Department of Mathematics, Hengyang Normal University, Hengyang 421008) OUYANG Zigen (Department of Mathematics, Nanhua University, Hengyang 421001);Oscillation of Systems of Impulsive Neutral Delay Parabolic Equations about Boundary Value Problems[J];Acta Mathematicae Applicatae Sinica;2007-05
9 Chen Zhibin,Zhang Aiping,Li Bei(Hunan Metallurgical Professional Technology CollegeZ,huzhou Hunan 412000C,hina);The Oscillatory and Asymptotic Behavior of FunctionalDifferential Equation with One Kind of Variable Coefficient[J];Journal of Hunan University of Technology;2008-02
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