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《Mathematics in Practice and Theory》 2008-11
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H-oscillation of Neutral Vector Parabolic Partial Functional Differential Equations with Continuous Distribution Delay

LUO Li-ping(Dept.of Math,Hengyang Normal University,Hengyang Hunan 421008,China)  
The H-oscillation of a class of neutral vector parabolic partial functional differential equations with continuous distribution delay is studied.By employing the scalar product of vector and Green′s formula,the sufficient criteria for the H-oscillation of all solutions of the equations are obtained under Dirichlet boundary value condition,where H is a unit vector of Rm.
【Fund】: 湖南省自然科学基金资助项目(05JJ40008);; 湖南省教育厅科研资助项目(07C164)
【CateGory Index】: O175
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【References】
Chinese Journal Full-text Database 2 Hits
1 BIE Qun-yi,MA De-yi(College of Science,China Three Gorges University,Yichang 443002,China);H-oscillation Properties of Nonlinear Impulsive Vector Hyperbolic Differential Equations[J];Mathematics in Practice and Theory;2009-09
2 Bie Qunyi (College of Science,China Three Gorges Univ.,Yichang 443002,China);H-oscillation of Solutions of Certain Nonlinear Impulsive Vector Parabolic Differential Equations[J];Journal of China Three Gorges University(Natural Sciences);2009-03
【Citations】
Chinese Journal Full-text Database 6 Hits
1 LUO Li-ping (Department of Mathematics,Hengyang Normal University,Hengyang 421008);Forced Oscillation of High-order Nonlinear Partial Functional Differential Equations[J];Chinese Journal of Engineering Mathematics;2007-01
2 YANG Jun, WAN Hai-ying (The College of Basic Science, Yanshan University, Qinhuangdao 066004);Oscillation of Higher Order Neutral Functional Partial Differentail Equation[J];College Mathematies;2003-04
3 LUO Li-ping (Mathematics Department,Hengyang Normal University,Hengyang Hunan 421008,China);Forced Oscillation for a Class of Neutral Delay Parabolic Partial Functional Differential Equations[J];Mathematics In Practice and Theory;2005-10
4 Wang Peiguang (Department of Mathematics, Hebei University, Baoding 071002) Ge Weigao (Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081);FORCED OSCILLATION OF A CLASS OF NONLINEAR FUNCTIONAL PARTIAL DIFFERENTIAL EQUATIONS[J];Journal of Systems Science and Mathematical Sciences;2000-04
5 Wang Peiguang (Dept. of Math., Hebei University, Baoding 071002)Fu Xilin (Dept. of Math., Shandong Normal University, Jinan 250014)Yu Yuanhong (Inst. of Appl. Math., Academia Sinica, Beijing 100080);Oscillatory Criteria for Certain Delay Hyperbolic Equations[J];JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION;1998-01
6 LUO Li-ping~1,GAO Zheng-hui~1,OUYANG Zi-gen~2 (1.Dept.of Math.,Hengyang Normal University,Hengyang 421008,China;2.Dept.of Math.,Nanhua University,Hengyang 421001,China);Oscillation of Nonlinear Neutral Parabolic Partial Functional Differential Equations with Continuous Distribution Delay[J];Mathematica Applicata;2006-03
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 DENG Li hu 1, GE Wei gao 1, WANG Pei guang 2 (1.Department of Mathematics, Beijing Institute of Technology, Beijing100081; 2.Department of Mathematics,Hebei University,Baoding071002);Forced Oscillation of Hyperbolic Equation with Distributed Deviating Argument[J];Journal of Beijing Institute of Technology;2000-05
2 FAN Jin-mei1,ZHANG Jun-xian2(1.Department of Mathematics and Information Science,Binzhou University,Binzhou 256603,China;2.Department of Industrial Engineering,Binzhou Occupation College,Binzhou 256603,China);Oscillation for Solutions of Certain Higher Order Neutral Partial Functional Differential Equations[J];Journal of Binzhou University;2006-06
3 LUO Li-ping (Department of Mathematics,Hengyang Normal University,Hengyang 421008);Forced Oscillation of High-order Nonlinear Partial Functional Differential Equations[J];Chinese Journal of Engineering Mathematics;2007-01
4 PENG Bai-yu(Department of Mathematics,Hengyang Normal University,Hengyang 421008,China);Oscillatory Criteria for a Class of Nonlinear Neutral Partial Differential Equations with Continuous Distribution Delay[J];Journal of Gansu Lianhe University(Natural Science Edition);2007-03
5 CAI Jiang-tao,LUO Li-ping,YANG Liu (Department of Mathmatics,Hengyang Normal University,Hengyang 421008,China);Oscillation of Solutions to a Class of Second Order Damped Partial Differential Equations with High Order Laplace Operator[J];Journal of Gansu Lianhe University(Natural Science Edition);2008-05
6 PENG Bai-yu (Mathematics Department,Hengyang Normal University,Hengyang,Hunan,421008,China);Oscillation for a Class of Partial Differential Equations with Continuous Distribution Delay[J];Guangxi Sciences;2007-01
7 TIAN Da-zeng;YAN Ling-pu(Hehei University, Baoding 071002,China;Professional Training Center of Hengshui, Hengshui 053000,China);Oscillation criteria of solutions for a certain partial functional differential equations[J];Journal of The Hebei Academy of Sciences;2000-01
8 CAI Jiang-tao,LUO Li-ping,XIAO Juan(Dept.of Mathematics,Hengyang Normal University,Hengyang 421008,China);Oscillation of solutions to a class of second order damped time-delay partial differential equations[J];Journal of Hefei University of Technology(Natural Science);2009-03
9 LUO Li-ping (Dept.of Math.,Hengyang Normal Univ.,Hengyang 421008,China);Oscillation criteria of nonlinear parabolic partial functional differential equations with continuous distribution delay[J];Journal of Naval University of Engineering;2007-02
10 CAI Jiang-tao,YANG Liu,XIAO Juan(Dept.of Math.,Hengyang Normal Univ.,Hengyang 421008,China);Oscillation of solutions to a class of second order neutral damped partial differential equations with continuously distributed delays[J];Journal of Naval University of Engineering;2009-01
【Co-references】
Chinese Journal Full-text Database 1 Hits
1 Bie Qunyi1 Lu Yuanhai2 (1.College of Science,China Three Gorges Univ.,Yichang 443002,China;2.Dongqu Middle School of Zhongshan,Zhongshan 528403,China);Oscillation Properties of Solutions for Certain Impulsive Vector Hyperbolic Differential Equations with Time Delays[J];Journal of China Three Gorges University(Natural Sciences);2008-05
【Secondary Citations】
Chinese Journal Full-text Database 7 Hits
1 LIU An-ping 1,YU Wen-hui 1, DING Yan-hong 2 (1.Department of Mathematics & Physics,China University of Geosciences,Wuhan 430074,China; 2.Hubei Taxation School,Wuhan 430064,China);Necessary and sufficient condition for oscillations of nonlinear parabolic partial differential equations[J];Pure and Applied Mathematics;2002-01
2 CUI Baotong, LI Weinian (Binzhou Normal College, BinzhouShandong256604);Necessary and Sufficient Conditions for Oscillation of Delay Parabolic Differential Equations with Variable Coefficients[J];JOURNAL OF MATHEMATICS FOR TECHNOLOGY;2000-02
3 LUO Li-ping (Mathematics Department,Hengyang Normal University,Hengyang Hunan 421008,China);Forced Oscillation for a Class of Neutral Delay Parabolic Partial Functional Differential Equations[J];Mathematics In Practice and Theory;2005-10
4 Wang Peiguang (Department of Mathematics, Hebei University, Baoding 071002) Ge Weigao (Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081);FORCED OSCILLATION OF A CLASS OF NONLINEAR FUNCTIONAL PARTIAL DIFFERENTIAL EQUATIONS[J];Journal of Systems Science and Mathematical Sciences;2000-04
5 Li Weinian Cui Baotong (Binzhou Normal College, Binzhou, Shandong 256604 ,China);Oscillation of the Solutions of Parabolic Equations with Continuous Distributed Deviating Arguments[J];JOURNAL OF SHANXI UNIVERSITY (NATURAL SCIENCE EDITION);1999-02
6 Wang Peiguang (Dept. of Math., Hebei University, Baoding 071002)Fu Xilin (Dept. of Math., Shandong Normal University, Jinan 250014)Yu Yuanhong (Inst. of Appl. Math., Academia Sinica, Beijing 100080);Oscillatory Criteria for Certain Delay Hyperbolic Equations[J];JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION;1998-01
7 LIU An-ping HE Shui-ming LI Xing (Dept. of Math, and Phys., China University of Geosciences, Wuhan, 430074);NECESSARY AND SUFFICIENT CONDITIONS FOR OSCILLATIONS OF PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE[J];Journal of Mathematics;2003-03
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