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《Chinese Journal of Engineering Mathematics》 2007-01
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Forced Oscillation of High-order Nonlinear Partial Functional Differential Equations

LUO Li-ping (Department of Mathematics,Hengyang Normal University,Hengyang 421008)  
This paper studies a class of high-order nonlinear partial functional differential equations with continuous distribution delay by using the method of differential inequality.The sufficient condi- tions are given for the forced oscillation of solutions of the equations under three boundary conditions. The obtained results generalize and include some known conclusions.
【Fund】: 湖南省自然科学基金(05JJ40008)
【CateGory Index】: O175.29
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【References】
Chinese Journal Full-text Database 3 Hits
1 LUO Li-ping(Dept.of Math,Hengyang Normal University,Hengyang Hunan 421008,China);H-oscillation of Neutral Vector Parabolic Partial Functional Differential Equations with Continuous Distribution Delay[J];Mathematics in Practice and Theory;2008-11
2 WANG You-qiong(Department of Commerce and Tourism,Hunan Industry Polytechnie,Changsha 410208 China);Oscillation for Even Order Nonlinear Neutral Partial Differential Equations with Continuous Distribution Delay[J];Natural Science Journal of Xiangtan University;2009-02
3 LUO Li-ping1,YU Yuan-hong2(1.Department of Mathematics,Hengyang Normal University,Hunan 421008,China;2.Institute of Applied Mathematics,Academia Sinica,Beijing 100080,China);H-oscillation of Impulsive Vector Delay Hyperbolic Equations[J];Acta Scientiarum Naturalium Universitatis Sunyatseni;2008-06
【Citations】
Chinese Journal Full-text Database 2 Hits
1 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
2 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
【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 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
3 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
4 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
5 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
6 Gao Zhenghui Luo Liping (Hengyang Normal University);OSCILLATION OF THE SOLUTIONS OF NEUTRAL HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION WITH CONTINUOUS DELAY[J];Natural Science Journal of Harbin Normal University;2007-04
7 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
8 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
9 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
10 YANG Wen-shu 1,LIN Wen-xian 2 (1.Department of Mathematics,Jiaying University,Meizhou,514015,China; 2.Department of Mathematics,Hanshan Teachers′ College,Chaozhou,521041,China);Oscillation for a Class of Nonlinear Neutral Type Delay Hyperbolic Differential Equations[J];Journal of Henan Normal University(Natural Science);2002-01
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 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
2 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
3 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
4 LIN Wen-xianDepartment of Mathematicas, Hanshan Teachers College, Chaozhou Guangdong 521041 China;Oscillation of Solutions of High Order Nonlinear Neutral partial Differential Equations[J];Journal of Biomathematics;2003-01
5 LUO Li-ping (Department of Mathematics,Hengyang Normal University,Hengyang 421008,China);Oscillation of Solutions for a Class of Nonlinear Neutral Partial Differential Equations with Continuous Distribution Delay[J];Chinese Quarterly Journal of Mathematics;2008-01
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 LIN Shi-Zhong~1, ZHOU Zheng-xin~2, YU Yuan-Hong (1.Dept. of Math., Hainan Normal University, Haikou 571158, China) (2.Dept. of Math.,College of Science,Yangzhou University,Yangzhou 225002,China) (3.Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100080, China);OSCILLATION CRITERIA FOR A CLASS OF HYPERBOLIC EQUATIONS WITH CONTINUOUS DISTRIBUTED DEVIATING ARGUMENTS[J];Journal of Mathematics;2005-05
8 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
9 WANG Ning1, WANG Pei-guang2, SUN Xiao-ling11. Mathematics Department, Anhui Institute of Education, Hefei 236032, China2. College of Electronic and Information Engineering, Hebei University, Baoding 071002, China;H-Oscillation of Solutions of Certain Vector Hyperbolic Functional Differential Equation with Distributed Deviating Arguments[J];Acta Analysis Functionalis Applicata;2007-01
10 CUI BAOTONG(Binzhou Normal Collage, Shandong 256604)YU YUANHONG(Institute of Applied Mathematics, the Chinese Academy of Science, Beijing 100080)LIN SHIZHONG(Deportment of Mathematics, Hainan Normal College , Haikou 571158);OSCILLATION OF SOLUTIONS OF DELAY HYPERBOLIC DIFFERENTIAL EQUATIONS[J];ACTA MATHEMATICAE APPLICATAE SINICA;1996-01
【Secondary 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
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