Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Mathematica Applicata》 2006-03
Add to Favorite Get Latest Update

Oscillation of Nonlinear Neutral Parabolic Partial Functional Differential Equations with Continuous Distribution Delay

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)  
The oscillation of solutions for a class of nonlinear neutral parabolic partial functional differential equations with continuous distribution delay is considered in this paper.Some sufficient conditions are obtained for oscillation of solutions of the equations under Robin and Dirichlet boundary value conditions by employing Green's theorem and delay differential inequalities.
【Fund】: 国家自然科学基金资助项目(10471086)
【CateGory Index】: O175.26
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
【References】
Chinese Journal Full-text Database 10 Hits
1 LUO Li-ping,YANG Liu (Department of Mathematics and Computational Science,Hengyang Normal University,Hengyang 421008,China);H-oscillation of neutral vector parabolic partial differential equations with continuous deviating arguments[J];Pure and Applied Mathematics;2009-04
2 CAI Jiang-tao,XIAO Juan,YANG Liu (Dept.of Mathematics,Hengyang Normal University,Hengyang 421008,China);Oscillation of solutions to a class of even order nonlinear neutral damped partial differential equations[J];Journal of Hefei University of Technology(Natural Science);2009-11
3 LUO Li-ping,GAO Zheng-hui,WANG Yan-qun(Department of Mathematics and Computational Science,Hengyang Normal University,Hengyang Hunan 421008,China);Forced Oscillation of Nonlinear Neutral Parabolic Partial Differential Equations with Higher Order Laplace Opertor[J];Journal of Hengyang Normal University;2009-03
4 CAI Jiang-tao,XIAO Juan,YANG Liu(Dept.of Math.,Hengyang Normal University,Hengyang Hunan 421008,China);Oscillation of Solutions to A Class of Even Order Neutral Damped Partial Differential Equations[J];Journal of Huaiyin Institute of Technology;2008-05
5 PENG Bai-yu,LUO Li-ping(Department.of Mathematics,Hengyang Normal University,Hengyang,Hunan 421008 China);Oscillation for a class of higher order nonlinear neutral partial differential equations with continuous distribution delay[J];Journal of Guizhou Normal University(Natural Sciences);2007-02
6 CAI Jiang-tao,LUO Li-ping,YANG Liu(Deptartment of Mathematics,Hengyang Teachers College,Hengyang,Hunan 421008,China);Oscillation of solutions to a class of even order neutral damped partial differential equations[J];Journal of Guizhou Normal University(Natural Sciences);2008-04
7 CAI Jiang-tao(Department of Mathematics and Computational Science,Hengyang Normal University,Hengyang 421008,Hunan,China);Oscillation of solutions to a class of even order neutral-damped partial differential equations with continuously distributed delays[J];Journal of Shandong University(Natural Science);2011-03
8 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
9 LUO Li-ping 1,YU Yuan-hong 2 (1.Department of Mathematics and Computational Science,Hengyang Normal University,Hengyang 421008,China) (2.Institute of Applied Mathematics,Academia Sinica,Beijing 100080,China);H-OSCILLATION OF NEUTRAL VECTOR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS[J];Journal of Mathematics;2011-05
10 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
【Citations】
Chinese Journal Full-text Database 5 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 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
5 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
【Co-citations】
Chinese Journal Full-text Database 10 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 LIU Anping,XIAO Li,LIU Ting,LIU Keying (Dept. of Math. & Phys., China University of Geosciences, Wuhan430074,China);Necessary and sufficient conditions for oscillations of parabolic partial differential equations[J];Pure and Applied Mathematics;2003-03
3 LIU An-ping, MA Qing-xia, GUO Yan-feng (Department of Mathematics & Physics, China University of Geosciences, Wuhan 430074);Oscillations of the Solutions for Nonlinear Delay Parabolic Partial Differential Equations of Neutral Type[J];College Mathematies;2003-06
4 GAO Zheng-hui,LUO Li-ping(Dept.of Math.and Comp.Sci.,Hengyang Normal University,Hengyang Hunan 421008,China);Oscillation Criteria for Nonlinear Delay Hyperbolic Partial Functional Differential Equations[J];College Mathematics;2009-06
5 LIU Jian-ting,SONG Xiao-yan(Noth China Institute of Water Conservancy and Hydroelectric Power,Zhengzhou 450011,China);Necessary and Sufficient Conditions for Solution Oscillation of Impulsive Delay Parabolic Differential System[J];Journal of North China Institute of Water Conservancy and Hydroelectric Power;2007-05
6 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
7 ZOU Min~1,LIU An-ping~1,HE Lian-hua~1,2,LI Yan-ling~1(1.School of Mathematics and Physics,China University of Geosciences,Wuhan 430074,China;2.School of Mathematics and Computer Science,Guizhou Normal University,Guiyang 550001,China);Oscillation for boundary value problem of impulsive delay parabolic differential system[J];Journal of Natural Science of Heilongjiang University;2006-04
8 LUO Li-ping,GAO Zheng-hui,WANG Yan-qun(Department of Mathematics and Computational Science,Hengyang Normal University,Hengyang Hunan 421008,China);Forced Oscillation of Nonlinear Neutral Parabolic Partial Differential Equations with Higher Order Laplace Opertor[J];Journal of Hengyang Normal University;2009-03
9 XIAO Juan,CAI Jiang-tao(Department of Mathematics and Computational Science,Hengyang Normal University,Hengyang Hunan 421008,China);Oscillation of Solutions to A Class of Second Order Neutral Damped Partial Differential Equations[J];Journal of Hengyang Normal University;2009-06
10 PENG Bai-yu(Dept.of Math.,Hengyang Normal University,Hengyang 421008,China);Oscillation of Nonlinear Parabolic Equations with Continuous Distribution Delay[J];Journal of China West Normal University(Natural Sciences);2006-04
【Co-references】
Chinese Journal Full-text Database 10 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 LIN Wenxian(Department of Mathematics and Information Technology,Hanshan Normal University,Chaozhou 521041,China);Oscillation theorems for solutions of systems of even order neutral partial differential equations[J];Pure and Applied Mathematics;2007-04
3 LUO Li-ping~1,OUYANG Zi-gen~2(1.Department of Mathematics,Hengyang Normal University,Hengyang 421008,China;2.Department of Mathematics,Nanhua University,Hengyang 421001,China);Oscillation of Systems of Nonlinear Neutral Hyperbolic Partial Differential Equations with Continuous Distribution Delay[J];Journal of Fujian Normal University(Natural Science Edition);2007-01
4 LIN Wen-xian(School of Mathematics and Information Technology,Hanshan Normal University,Chaozhou 521041,China);Oscillation for Solutions of Systems of Even Order Partial Differential Equations of Neutral Type[J];Journal of Fujian Normal University(Natural Science Edition);2007-01
5 CHEN Ning (Southwest Institute of Technology,Mianyang 621002);Oscillations of Some Parabolic Equations with Deviation Arguments[J];Chinese Journal of Engineering Mathematics;2000-04
6 LI Shuyong1,2, MA Zhien1(1faulty of Science, Xi'an Jiaotong University, Xi'an 710049;2Institute of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066);Oscillation on a Population Equation with Diffusion and Delay[J];Chinese Journal of Engineering Mathematics;2003-01
7 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
8 Chen Ning (Southwest Institute of Technology,Mianyang 621002);Oscillations of Some Partial Differential Equations with Deviating Arguments[J];CHINESE JOURNAL OF ENGINEERING MATHEMATICS;1999-01
9 Lin Wenxian (Dept. of Math., Hanshan Teacher's College, Chaozhou 521041);OSCILLATION FOR SOLUTIONS OF SYSTEMS OF HIGH ORDER QUASILINEAR PARTIAL DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE[J];Numerical Mathematics A Journal of Chinese Universities;2003-01
10 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
【Secondary References】
Chinese Journal Full-text Database 9 Hits
1 LUO Li-ping,YANG Liu,ZHENG Yun-hui (Department of Mathematics and Computational Science,Hengyang Normal University,Hengyang 421008,China);H-oscillation of solutions of impulsive vector neutral parabolic equations[J];Applied Mathematics A Journal of Chinese Universities(Ser.A);2010-04
2 LUO Li-ping (Department of Mathematics and Computational Science,Hengyang Normal University,Hengyang,Hunan 421008,China);NECESSARY AND SUFFICIENT CONDITIONS FOR OSCILLATION OF IMPULSIVE NEUTRAL PARABOLIC EQUATIONS[J];Journal of Jinggangshan University(Natural Science);2010-05
3 LI Yuandan, GAO Zhenghui, PENG Baiyu Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang 421002, Hunan Province, China;New Criteria for Oscillation of Nonlinear Impulsive Neutral Parabolic Equations[J];Science & Technology Review;2011-22
4 LUO Li-ping,WANG Yan-qun(Department of Mathematics and Computational Science,Hengyang Normal University,Hengyang 421008,Hunan,China);Oscillation criteria of impulsive vector delay hyperbolic partial differential equations[J];Journal of Shandong University(Natural Science);2010-12
5 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
6 LI Yuan-dan1,LUO Li-ping1,YU Yuan-hong2(1.Department of Mathematics and Computational Science,Hengyang Normal University,Hengyang 421002,China;2.Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China);New Criteria for Oscillation of Vector Parabolic Equations with Continuous Distribution Arguments[J];Chinese Quarterly Journal of Mathematics;2011-02
7 LUO Li-ping 1,YU Yuan-hong 2 (1.Department of Mathematics and Computational Science,Hengyang Normal University,Hengyang 421008,China) (2.Institute of Applied Mathematics,Academia Sinica,Beijing 100080,China);H-OSCILLATION OF NEUTRAL VECTOR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS[J];Journal of Mathematics;2011-05
8 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
9 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
【Secondary Citations】
Chinese Journal Full-text Database 10 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 Liu Anping(Chian University of Geosciences, Wuhan 430074);Oscillations of Certain f Hyperbolic Delay Differential Equations with Forced Term[J];JOURNAL OF MATHEMATICS FOR TECHNOLOGY;1996-01
4 Liu Anping Wang Guoqing(China University of Geoscience, Wuhan 430074) Liu Zhongquan(Chongqing Technology Manager College, Chongqing630050);Necessary and Sufficient Conditions for Oscillations of Hyperbolic Neutral Partial Differential Equations[J];JOURNAL OF MATHEMATICS FOR TECHNOLOGY;1997-03
5 Li Weinian (Binzhou Normal College, Shandong256604);Necessary and Sufficient Condition for Oscillation of a Neutral Parabolic Equation with Several Delays[J];JOURNAL OF MATHEMATICS FOR TECHNOLOGY;1998-04
6 Li Weinian (Department of Mathematics, Binzhou Normal College, 256604,Binzhou, Shandong );NECESSARY AND SUFFICIENT CONDITIONS FOR OSCILLATION OF A CLASS OF PARABOLIC EQUATIONS WITH SEVERAL DELAYS[J];JOURNAL OF QUFU NORMAL UNIVERSITY(NATURAL SCIENCE);1999-01
7 YU Yuan\|hong\+1,\ HU Qing\|xi 2 (1.Beijing Wendeng College,Beijing\ 100081) (2.Institute of Applied Mathematics, Academia Sinica, Beijing\ 100080);Oscillation of Solutions of Partial Functional Differential Equationis with Damped Terms[J];Mathematics In Practice and Theory;2000-03
8 Liu Anping Ou Zhuoling;Necessary and Sufficient Conditions for Oscillations of Hyperbolic Neutral Partial Differential Equation[J];JOURNAL OF WUHAN UNIVERSITY OF TECHNOLOGY;2000-02
9 LIU An- ping Departmentof Mathematicsand Physics,China University of Geosciences,Wuhan430 0 74,China;Oscillations of the Solutions of Parabolic Partial Differential Equations of Neutral Type[J];Acta Analysis Functionalis Applicata;2000-04
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
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved