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《微分方程年刊(英文版)》 2014-01
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A SURVEY ON THE PERIODIC SOLUTIONS TO KAPLAN-YORKE TYPE DELAY DIFFERENTIAL EQUATION-I

Jianshe Yu;Zhiming Guo;College of Math.and Information Sciences,Guangzhou University;  
Since 1974,studying the original delay differential equation given by Kaplan and Yorke is about the problem on the existence of its periodic solutions,there have been a series of interesting and significant results in the previous literature.In this paper,we present a survey of some basic results.Some interesting open problems are also addressed.
【Fund】: partially supported by National Natural Science Foundation of China;; Program for Changjiang Scholars and Innovative Research Team in University(IRT1226)
【CateGory Index】: O175
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【Citations】
Chinese Journal Full-text Database 5 Hits
1 Ge Weigao(Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081)Guo Yuzhi(Department of Salt-Chemistry, Tianjin Institute of Light Industry, Tianjin 300450);Periodic Solutions of Differential Difference Equation (t)=f(x(t- 1))[J];JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY;1996-01
2 GUO Zhi-ming (College of Math,and Info.Sci.,Guangzhou Univ.,Guangzhou 510006,China);Existence and estimate of the number of nontrivial periodic solutions for delay differential equations[J];Applied Mathematics A Journal of Chinese Universities(Ser.A);2010-02
3 CHEN YONG-SHAO (South China Normal University, Guangzhou 510631, PRC);EXISTENCE OF PERIODIC SOLUTION OF A CLASS OF FIRST ORDER DIFFERENTIAL DIFFERENCE EQUATIONS[J];科学通报(英文版);1990-18
4 GE WEIGAO(Department of APPlied Matehematics, Beijing Institiue of Thechnology, Beijign 100081, China);TWO EXISTENCE THEOREMS OF PERIODIC SOLUTIONS FOR DIFFERENTIAL DELAY EQUATIONS[J];数学年刊B辑(英文版);1994-02
5 GE WEIGAO(Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081);PERIODIC SOLUTIONS OF DIFFERENTIAL DELAY EQUATIONS WITH MULTIPLE LAGS[J];ACTA MATHEMATICAE APPLICATAE SINICA;1994-02
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 CHENG Rong(Department of Mathematics,Nanjing University of Information Science & Technology,Nanjing 210044,China);Multiple periodic solutions of a class of differential equations with perturbations[J];Journal of Anhui University(Natural Sciences);2008-05
2 CHENG Rong(Department of Mathematics,NUIST,Nanjing 210044,China);Multiple Periodic Solutions of a Class of Differential Delay Equations Via Hamiltonian Systems[J];Journal of Anhui Normal University(Natural Science);2008-02
3 Ladislav Ceniga Institute of Materials Research,Slovak Academy of Sciences,Watsonova 47,04353 Koice,Slovak Republic;A new analytical model for thermal stresses in multi-phase materials and lifetime prediction methods[J];力学学报(英文版);2008-02
4 Hao Yunfeng Xu Zhonghai(Department of Mathematics);The Existeuce and Number of Periodic solutions of Differeutial Differeuce System[J];;1996-02
5 ZHANG Xiao-min,GUO Zhi-ming,BAI Ding-yong(School of Mathematics and Information Sciences,Guangzhou University,Guangzhou 510006,China);Multiple periodic solutions to a class of second order delay differential equations[J];Journal of Foshan University(Natural Science Edition);2010-02
6 KUANG Ju-hong,GUO Zhi-ming(School of Mathematics and Information Sciences,Guangzhou University,Guangzhou 510006,China);The multiplicity results for the periodic solutions to a delay differential equation under the condition of resonance[J];Journal of Guangzhou University(Natural Science Edition);2008-03
7 GUO Zhi-ming(School of Mathematics and Information Sciences,Guangzhou University,Guangzhou 510006,China);Generalized Z_p index theory and multiple periodic solutions to delay differential equations[J];Journal of Guangzhou University(Natural Science Edition);2008-04
8 Zhang Zhengqiu Wang ZhichengDept. of Appl. Math.,Hunan Univ.,Changsha 410082.;EXISTENCE OF PERIODIC SOLUTIONS OF PLANAR SYSTEMS WITH FOUR DELAYS[J];高校应用数学学报B辑(英文版);2001-04
9 GUO Zhi-ming (College of Math,and Info.Sci.,Guangzhou Univ.,Guangzhou 510006,China);Existence and estimate of the number of nontrivial periodic solutions for delay differential equations[J];Applied Mathematics A Journal of Chinese Universities(Ser.A);2010-02
10 CHEN Xin-yi(China Minorities Information Technology Institute, Northwest University for Nationalities,Lanzhou 730030,China);Periodic Solutions to Higher Order Nonlinear Neutral Delay Equations[J];Journal of Binzhou University;2012-03
China Proceedings of conference Full-text Database 2 Hits
1 Zhongkui Sun Wei Xu Department of Applied Mathematics,Northwestern Polytechnic University,Xi'an 710072,PR China;The 1/3 Subharmonic Resonance Response of Stochastic time-delay Duffing Oscillator[A];[C];2007
2 ;变系数分布DCNNS的全局稳定性研究[A];[C];2008
【Secondary Citations】
Chinese Journal Full-text Database 2 Hits
1 WEN LIZHI(Department of Mathematics, South China Normal University, Guangzhou) AND XIA HUAXING(Department of Mathematics, Hunan University, Changsha);EXISTENCE OF PERIODIC SOLUTIONS FOR DIFFERENTIAL DIFFERENCE EQUATIONS WITH TWO TIME LAGS[J];中国科学A辑(英文版);1988-07
2 LI Jibin (Kunming University of Science and Technology; Institute of Applied Mathematics of Yunnan Province, Kunming 650093, China) and HE Xuezhong (School of Mathematics and Statistics, University of Sydney, Sydney, NSW 2006, Australia);Proof and generalization of Kaplan-Yorke' s conjecture under the condition f' (0) > 0 on periodic solution of differential delay equations[J];中国科学A辑(英文版);1999-09
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