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《Mathematics in Practice and Theory》 2008-11
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Oscillation of Four-order Nonlinear Differential Equations with Variable Coefficient

HAN Xiao-you1,GUO Fang1,HAN Shao-wei2,ZHANG Jian-guo1(1.College of Science,North China Univ of Tech, Beijing 100144,China)(2.Datong Labor Technique School,Datong 037000,China)  
This paper studies the oscillation of a kind of four-order nonlinear differential equation.x(4)(t)+p(t)f(x(t))=0,Two important lemmas and a sufficient condition for the oscillation of all solutions of the equation with variable coefficient p(t) are obtained.We generalize the results of four-order nonlinear differential equation with invariable coefficient.
【Fund】: 北京市教委科技基金资助项目(KM200710009012)
【CateGory Index】: O175
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【References】
Chinese Journal Full-text Database 2 Hits
1 Zhu Hongxia1) Guo Fang2) Han Xiaoyou3) (1)Department of Mathematics ﹠ Information Science,Langfang Normal College,065000,Langfang,Hebei,China;2)Department of Mathematics ﹠Computer,Shanxi Datong University,037009,Datong,Shanxi,China;3)College of Science,North China Univ.of Tech.,100044,Beijing,China);Oscillation of Sixth-order Nonlinear Differential Equations with Variable Coefficients[J];Journal of North China University of Technology Beijing China;2009-01
2 Guo Fang1) Zhu Hongxia2) Han Xiaoyou 3) (1)Department of Mathematics ﹠Computer,Shanxi Datong University,037009,Shanxi,China;2) Department of Mathematics ﹠ Information Science,Langfang Normal College,065000,Hebei,China;3)College of Science,North China Univ.of Tech.,100144,Beijing,China);Oscillation of Four-order Nonlinear Delay Differential Equations with Variable Coefficient[J];Journal of North China University of Technology;2009-03
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1 WANG Qi Ru (Institute of Mathematics, Academy of Mathematics and Systems Sciences, Chinese Academy of Sciences, Beijing 100080, P. R. China);Oscillation Criteria for Second Order Nonlinear Differential Equations[J];Acta Mathematica Sinica;2001-02
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1 CHEN Yan-fen(Department of Mathematicas,Hanshan Teachers College,Chaozhou 521041,China);Oscillatory behavior of solutions of certain second order nonlinear differential equation[J];Journal of Anhui University(Natural Sciences);2006-06
2 XIANG Ming yin 2, XU Zhi ting 2 (1.Department of Mathematics,Huangshan Senior College,Huangshan 245021, China;2.Department of Applied Mathematics,Guangdong University of Technology,Guangzhou 510090, China);OSCILLATION FOR DELAY DIFFERENTIED EQUATIONS OF SECOND ORDER[J];Journal of Anhui Normal University(Natural Science);2002-02
3 Guo Fang Zhang Jianguo Zhu Hongxia(College of Sciences,North China Univ.of Tech.,100041,Beijing,China);Oscillation of Second Order Neutral Differential Equation[J];Journal of North China University of Technology Beijing China;2007-01
4 Zhu Hongxia1) Guo Fang2) Han Xiaoyou3) (1)Department of Mathematics ﹠ Information Science,Langfang Normal College,065000,Langfang,Hebei,China;2)Department of Mathematics ﹠Computer,Shanxi Datong University,037009,Datong,Shanxi,China;3)College of Science,North China Univ.of Tech.,100044,Beijing,China);Oscillation of Sixth-order Nonlinear Differential Equations with Variable Coefficients[J];Journal of North China University of Technology Beijing China;2009-01
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6 LIU Yi-long (Department of Mathematics and Information Science,Shaoyang University,Shaoyang,422000,China);Oscillation of Certain Even Order Half-Linear Delay Differential Equation[J];Journal of Jiangxi Normal University(Natural Sciences Edition);2008-05
7 YU Yue-hua (Department of Mathematics,Changde Teachers University,Changde Hunan,415000);THE ASYMPTOTIC BEHAVIOR FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATIONS[J];Journal of Changde Teachers University;2003-01
8 ZHAO Min-zhi1, ZHAO ZHi-guo2 (1 Hunan Vocational College of Commerce, Changsha Hunan 410205; 2 Hunan Branch The People’s Insurance Company of China, Changsha Hunan 410008);Oscillatory and Asymptotic Behavior of Solutions of Second Order Nonlinear Functional Differential Equations[J];;2005-02
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10 XU Ming,HUANG Jiang-yan(Department of Mathematics,Guangxi Normal University,Guangxi 541004,China);Oscillation of a kind of variable delay differential equation with variable cofficient[J];Journal of Changchun University;2008-08
【Co-references】
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1 Feng Binlu(Shandong Mining Institute,Taian, 271019)Yu Yuanhong(Institute of Applied Mathematics. Academia Sinica,Beijing. 100080 );OSCILLATION OF SOLUTIONS FOR HIGHER ORDER NONLINEAR DELAY DIFFERENTIAL EQUATIONS[J];SONGLIAO JOURNAL (NATNRAL SCIENCE EDITION);1997-02
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3 HAN Xiao-you,SHI Yan-xia,ZHUANG Xu-qin(College of Science,North China Univ of Tech,Beijing 100041,China);Oscillation of Second-order Nonlinear Variable Delay Differential Equation with Variable Coefficient[J];Mathematics in Practice and Theory;2007-15
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