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《Journal of Beijing Institute of Technology》 2000-05
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Forced Oscillation of Hyperbolic Equation with Distributed Deviating Argument

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)  
An averaging technique is used to study the forced oscillation of nonlinear hyperbolic equations with a distributed deviating argument. The multidimensional problem is reduced to a one dimensional oscillation problem of ordinary differential equations or inequalities. This paper uses the Robin eigenvalue problem to study the oscillation of Robin Boundary value problems, where is different from the other papers. Forced oscillatory criteria for the Robin boundary value problem of nonlinear hyperbolic equations with a distributed deviating argument were obtained.
【Fund】: 国家自然科学基金! (198710 0 5 );; 河北省自然科学基金!(10 0 0 6 9)
【CateGory Index】: O175.27
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【Citations】
Chinese Journal Full-text Database 2 Hits
1 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
2 YU YUANHONG(Institute of Applied Mathematics, Academia Sinica, Beijing 100080)CUI BAOTONG(Binzhou Normal College, Shaandong Binzhao 256604);ON THE FORCED OSCILLATIONS OF SOLUTIONS OF HYPERBOLIC EQUATIONS WITH DEVIATING ARGUMENTS[J];ACTA MATHEMATICAE APPLICATAE SINICA;1994-03
【Co-citations】
Chinese Journal Full-text Database 10 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 TANG Qing-gan 1, DENG Li-hu 2 (1.Dept.of Computing Science and Applied Physics,Guilin 541004,China; 2.Dept.of Applied Mathematics,Beijing Institute of Technology,Beijing 100081,China);Osillation of the Solutions to a Neutral Type Hyperbolic Equation under the Third Boundary Condition[J];Journal of Guilin Institute of Electronic Technology;2002-05
3 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
4 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
5 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
6 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
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 Gong Junxin(Hubei Normal University);OSCILATION THEOREMS OF THE SOLVTION OF A NONLINEAR NEUTRAL PARTIAL DIFFERENTIAL EQUATIONS[J];Journal of Hubei Normal University;1995-03
9 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
10 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
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