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《Journal of Taiyuan Normal University(Natural Science Edition)》 2015-01
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The Distribution of Zeros of Solutions of the Nonlinear Neutral Differential Equations with Variable Delays

Meng Zhijuan;Ma Lidong;School of Applied Science,Taiyuan University of Science and Technology;School of materials science and Engineering,Taiyuan University of Science and Technology;  
Discuss the distribution of zeros of solution of the first order nonlinear differential inequality by linearizing nonlinear problems.Then by changing the differential equation with the related differential inequality,estimate the distance between adjacent zeros of the solutions of the nonlinear neutral differential equation with variable delays.Generalize and improve a lot of known results.
【Fund】: 山西省青年科学基金(20141012);; 太原科技大学校青年基金(20143006);; 太原科技大学校博士科研启动基金(20102021)
【CateGory Index】: O175
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【Citations】
Chinese Journal Full-text Database 7 Hits
1 Zhou Yong (Department of Mathematics, Xiangtan University, Hunan, 411105);The Distribution of Zeroes of Solutions of First Order Neutral Differential Equations[J];东北数学(英文版);1997-02
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Lin Shizhong(Hainan Normal College, Haikou,571158)Yu Yuanhong(Institute of Applied Mathematics, Academia Sinica, Beijing, 100080);OSCILLATION THEOREMS OF SOLUTIONS FOR A CLASS OF FUNCTIONAL DIFFERENTIAL EQUATIONS[J];Pure and Applied Mathematics;1996-01
2 Gao Wei,Xiong Wanmin;An Estimate of the Distances Between Adjacent Nodes of the Solution to Delay Difference Equation of First Order[J];;1999-01
3 YANG Jun 1 , MENG Zhi-juan 1 , QIAO Xing-hao 2 (1. College of Sciences, Yanshan University, Qinhuangdao, Hebei 066004, China; 2. The College of Sciences, Tsinghua University, Beijing 100084, China);Distribution of zeros for nonlinear difference equations[J];Journal of Yanshan University;2006-04
4 DU Ying (Departm ent of Mathem atics,HebeiNorm alUniversity,Shijiazhuang 050091,China);The Distribution of Zeros of Solutions of Delay Differential Equations[J];;1999-04
5 YANG Jun~1,MENG Zhi-juan~1,QIAO Xing-hao~2(1.College of Science,Yanshan University,Qinhuangdao 066004,China;2.College of Science,Tsinghua University,Beijing 100084,China);An estimate for the distance between adjacent zeros of solutions of second order nonlinear neutral differential equation[J];Journal of Natural Science of Heilongjiang University;2006-04
6 TANG Xian\|hua\+1,\ YU jian\|she\+2 (1.Department of Applied Mathematics, Central South University of Technology,Changsha\ 410083) (2.Department of Applied Mathematics, Hunan University, Changsha\ 410082);The Maximum Existence Interval of Positive Solutions of First Order Delay Differential Inequalities with Applications[J];Mathematics In Practice and Theory;2000-04
7 WU Hong-wu1,XIE Sheng-li2,XU Yuan-tong3(1.School of Mathematical Sciences,South China University of Technology,Guangzhou 510640,China)(2.School of Electronic and Information Engineering,South China University of Technology,Guangzhou 510640,China)(3.School of Mathematical and Computational Sciences,Zhong-Shan University,Guangzhou 510275,China);The Distribution of Zeros of Solutions of First-order Advanced Differential Equations[J];Mathematics in Practice and Theory;2008-12
8 Liu Yuji (Dept. of Math. Yueyang Teacher′s College, Hunan 414000);An Estimate for Distance Between Adjacent Zeroes of Solution of Delay Differential Equations[J];Journal of Mathematical Study;2000-03
9 Ji Zhengbing Li Lintai (Taiyuen Cadre Administration College for Economics, Taiyuan 030006) (Education Committee of Jincheng);About Distance Between Adjacent Zerosof Solutions of Delay Differential Equations[J];JOURNAL OF SHANXI UNIVERSITY (NATURAL SCIENCE EDITION);1999-03
10 SHAN Wenrui GE Weigao School of Science Beijing University of Posts and Telecommunications, Beijing 100876, China, E-mail: wrshan@eyou.com Department of Applied Mathematics, School of Science and Technology, Beijing University of Science and Technology, Beijing 100081, China.;DISTRIBUTION OF ZEROS FOR DIFFERENCE EQUATIONS WITH CONTINUOUS ARGUMENT AND POSITIVE AND NEGATIVE COEFFICIENTS[J];Chinese Annals of Mathematics,series A;2003-03
【Secondary Citations】
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2 Yu Yuan-hong (Institute of Applied Mathmatics, Academia Sinica, Beijing);OSCILLATION OF SOLUTIONS OF NEUTRAL DELAY DIFFERENTIAL EQUATIONS[J];Acta Mathematicae Applicatae Sinica;1991-03
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