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《Pure and Applied Mathematics》 2003-03
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Necessary and sufficient conditions for oscillations of parabolic partial differential equations

LIU Anping,XIAO Li,LIU Ting,LIU Keying (Dept. of Math. & Phys., China University of Geosciences, Wuhan430074,China)  
In this paper, oscillatory properties of solutions of certain parabolic partial differential equations are investigated. A series of necessary and sufficient and a series of sufficient conditions for oscillations of the equations are established.
【Fund】: 国土资源部矿产资源定量预测及开放研究实验室研究基金(MGMR2000-18).
【CateGory Index】: O175.26
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【Citations】
Chinese Journal Full-text Database 7 Hits
1 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
2 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
3 AN Ran (Information Science Department, Arts and Sciences Humanities of Beijing Union University, Beijing\ 100083);Oscillation Criteria of Solutions for Delay Differential Equations[J];Mathematics In Practice and Theory;2000-03
4 LIU An_ping 1,CAO Shao_chen 2 (1.Department of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China;2.Department of Mathematics, Military Economic Academy, Wuhan 430035, China);Oscillations of the Solutions of Hyperbolic Partial Differential Equations of Neutral Type[J];Chinese Quarterly Journal of Mathematics;2002-02
5 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
6 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
7 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
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Li Weinian Binzhou Teachers College,Binzhou,Shandong,256604;Oscillation for Solutions of Certain Partial Differential Equations with Delays[J];JOURNAL OF BINZHOU TEACHERS COLLEGE;1999-02
2 YAN Bing-xia~1,SHENG Wei-hong~2(1.Department of Foundation,Binzhou Occupation College,Binzhou 256624;2.Department of Mathematics and Information Science,Binzhou University,Binzhou 256603,China);Oscillation for Solutions of Certain Neutral Delay Hyperbolic Differential Equations[J];Journal of Binzhou University;2005-06
3 ZHANG Jun-xian1,TIAN Jie2,3,WANG Ming-ming2,3(1.Department of Industrial Engineering,Binzhou Occupation College,Binzhou 256603,China;2.Department of Mathematics and Information Science,Binzhou University,Binzhou 256603,China;3.Department of Mathematics,Qufu Normal University,Qufu 273165,China);Oscillation for Solutions of Certain Neutral Hyperbolic Differential Equations with Delays[J];Journal of Binzhou University;2007-06
4 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
5 LIN Wenxian (Dept. of Math., Hanshan Teachers College, Chaozhou Guangdong521041,China);Oscillation for solutions of systems of second order neutral partial functional differential equations[J];Pure and Applied Mathematics;2003-03
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8 CHEN Ning (Southwest Institute of Technology,Mianyang 621002);Oscillations of Some Parabolic Equations with Deviation Arguments[J];Chinese Journal of Engineering Mathematics;2000-04
9 LIU AnpingLI XingLIU Keying (Dept of Math Phys, China University of Geosciences, Wuhan 430074);Necessary and Sufficient Condition for Oscillations of Delay Hyperbolic Partial Differential Equations[J];Chinese Journal of Engineering Mathematics;2003-04
10 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
【Secondary Citations】
Chinese Journal Full-text Database 7 Hits
1 Liu Anping Yuan Jinchen (China University of Geoseiences);Oscillations of Certain Hyperbolic Delay Differential Equations with Damping Terms[J];;1994-S1
2 Zheng Zuxiu (University of Anhui) Ren Hongshan (University of Heilongjiang);Necessary and Sufficient Conditions for Oscillations of Second-order Neutral Equations with First-order Derivative Terms and Several Delays[J];;1994-S1
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 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
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