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《Acta Analysis Functionalis Applicata》 2003-01
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Existence of Periodic Solutions to a Class of Second-order Neutral Differential Difference Equations

guo zhi-ming 1, xu yuan-tong 2 1.department of applied mathematics, hunan university, changsha 410082, china 2.department of mathematics, zhongshan university, guangzhou 510275, china  
by means of variational structure and critical P Oint theory, we give some criteria for the existence of periodic solutions to a Class of second-order neutral differential difference equations as the followin G type(t-τ)-x(t-τ)+f(t,x(t),x(t-τ),x(t-2τ))=0With the boundary value conditionX(0)=x(2kτ), (0)=(2kτ)Where k is a given positive integer and τ is a positive number.=
【Fund】: Supported by Foundation of Zhongshan University Advanced Research Centre(0 2 M9)
【CateGory Index】: O175.1
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【References】
Chinese Journal Full-text Database 2 Hits
1 SHU XIAOBAO HUANG LIHONG (Department of Mathematics,Hunan University,Changsha,410082) XU YUANTONG (Department of Mathematics,Zhongshan University,Guangzhou,510275);A Estimate for Number Multiple Periodic Solutions to a Class Neutral Differential Equations[J];Acta Mathematicae Applicatae Sinica;2008-01
2 MIAO Chunfang(Department of Mathematics,Shaoxing College of Arts and Sciences,Shaoxing Zhejiang 312000,China);Asymptotic stability of a class of second-order neutral delay differential equations[J];Journal of Zhejiang Normal University(Natural Sciences);2008-01
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 Ruan Jiong (Department of Mathematics);A STABLE ANALYSIS OF HOPFIELD'S CONTINUOUS NEURAL NETWORKS WITH ASYMMETRIC WEIGHTED MATRICES[J];Journal of Fudan University;1992-02
2 ZHANG GONGQING(CHANG KUNG-CHING(Institute of Mathematics, Peking University);VARIATIONAL METHODS AND SUB- AND SUPER-SOLUTIONS[J];中国科学A辑(英文版);1983-12
3 GUO Zhiming & YU Jianshe 1. Department of Applied Mathematics, Hunan University, Changsha 410082, China; 2. Department of Mathematics, Taiyuan Normal College, Taiyuan 030012, China;Existence of periodic and subharmonic solutions for second-order superlinear difference equations[J];中国科学A辑(英文版);2003-04
4 WANG Jinliang CHEN Luonan& JING Zhujun1. Institute of Mathematics, Chinese Academy of Sciences, Beijing 100080, China;2. Osaka Sangyo University, 3-1-1 Nakagaito, Daito, Osaka 574-8530, Japan;;Chaos and asymptotical stability in discrete-time recurrent neural networks with generalized input-output function[J];中国科学A辑(英文版);2001-02
5 SHI Wen-ying, WANG Pei-guang(Department of Mathematics, Hebei University, Baoding 071002, China);Oscillation for Second Order Neutral Functional Differential Equations[J];Mathematics In Practice and Theory;2004-03
6 Zhou Zhan;Yu Jianshe(Department Of Applied Mathematics, Hadal UniveTsity, Changsha 410082, P. R. China)(E-mail: jsyu@mail. hunu,edu.cn);Stability for Nonautonomous Neutral Delay Difference Equations[J];ACTA MATHEMATICA SINICA;1999-06
7 LI Cheng Yue (Department of Applied Mathematicsand Software, Central University for Nationalities, Beiing 100080, P. R. China) LONG Yi Ming (Institute of Mathematics, Nankai University, Tianjin 300071, P. R. China) (Fax: (022)23501532; E-mail: 1omgym@sun;Existence of Nontrival Homoclinic Orbits in a Class of Hamiltonian Systems-L(t)u+W′_u(t, u)= 0[J];Acta Mathematica Sinica;2002-02
8 Gen Qiang WANG (Department of Computer Science, Guangdong Polytechnic Normal University, Guangzhou 510665, P. R. China) Ju Rang YAN (Department of Mathematics, Shanxi University, Taiyuan 030006, P. R. China);Existence of Periodic Solutions for Second Order Nonlinear Neutral Delay Equations[J];Acta Mathematica Sinica;2004-02
9 XU Zhiting1,JIA Baoguo2,MA Dongkui3(1.Department of Mathematics,South China Normal University,Guangzhou 510631,China;2.Mathematics and Scientific Computer College,Zhongshan Unviersity,Guangzhou 510275,China;3.Department of Applied Mathematics,South China Unversity of Technology,Guangzhou 510641,China);Interval Oscillation Criteria for Second Order Neutral Differential Equations[J];Mathematica Applicata;2004-01
10 Zhi-hui Chen, Yao-tian ShenDepartment of Applied Mathematics, South China University of Technology, Guangzhou 510640, China;On the Existence of Nontrivial Solutions of Quasi-asymptotically Linear Problem for the P-Laplacian[J];应用数学学报(英文版);2002-04
【Secondary References】
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1 QIN Rong-cun,LIU Jia-yu,FENG Chun-hua(College of Mathematics Science,Cuangxi Normal University,Guilin 541004,China);Asymptotic stability of a class of fourth-order neutral delay differential equations[J];Journal of Changchun University;2009-08
2 XIN Yun-bing (School of Sciences,Jimei University,Xiamen 361021,China);The Stability of Slowly Varying Coefficient with the Neutral Functional Differential Equations[J];Journal of Jimei University(Natural Science);2010-04
3 XIN Yun-bing (School of Science,Jimei University,Xiamen 361021,China);The Stability of Slowly Varying Coefficient with the Neutral Functional Differential Equations[J];Journal of Jimei University(Natural Science);2010-04
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