Full-Text Search:
Home|Journal Papers|About CNKI|User Service|FAQ|Contact Us|中文
《Journal of Shaanxi University of Technology(Natural Science Edition)》 2012-06
Add to Favorite Get Latest Update

On the stability of equilibrium point of the second order partial differential equation with quasiperiodic coefficients

CHENG Xiao-jing,HONG Jie(Scholl of Mathematics and Computer Science,Shaanxi University of Technology,Hanzhong 723000,China)  
This paper gives a simple and feasible method of judging the stability of partial differential equations about equilibrium points.That is for the equation ut-uxx+c(t)u=0 and u(t,0)=u(t,2π)=0,where u(t,x)=Σ+∞ n=1qn(t)φn(x),φn(x) is a eigenfunction to eigenvalue λ in y″=-λy and y(0)=y(2π)=0,c(t)=α+εc1(t),α is a positive constant,c1(t) is sufficient smooth quasiperiodic function with frequencies ω.Combining the theory KAM,it proves that the equation is reducible for most of sufficient small,and finally the result of using about the stability of the equilibrium is given.
【Fund】: 陕西理工学院科研基金资助项目(SLGQD0724)
【CateGory Index】: O175.21
Download(CAJ format) Download(PDF format)
CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.
Chinese Journal Full-text Database 10 Hits
1 TANG Ting,WANG Ming-yang,ZHAO Yue-tang (Engineering Institute,PLA University of Science and Technology,Nanjing 210007,Jiangsu,China);Transformation of boundary conditions of cavity expansion in an elastic medium[J];Explosion and Shock Waves;2009-02
2 LI Zhi-wen,SUN Yan-xiu(Chengde National Teacher′s College,Chengde,Hebei 067000,China);Discussion on the Free Vibration in One Dimension Space Without Boundary[J];Journal of Chengde Petroleum College;2006-02
3 ZHANG Li-juan,et al.(Dept.of math,Baicheng Normal College,Baicheng 137000,China);Stability analysis of solutions to the mathematical model describing A class of biomass increases[J];Journal of Changchun Institute of Technology(Natural Sciences Edition);2006-03
4 KU Shao-ping,LI Ning School of Computer Science and Technology,Wuhan University of Technology,Wuhan 430070,P. R. China;A generalized sinusoidal model and its applications[J];重庆大学学报(英文版);2009-01
5 QIAN Xue-ming(Depaltment of Basis,WuXi professional college of science and technology,WuXi 214028,China);the Initial Problems of Second Order Linear Differential Equation with Variable Coefficient[J];Journal of Daqing Normal University;2008-05
6 LIU Guo-guang, LU Min-qiang (Department of Physics, East China University of Science and Technology, Shanghai 200237, China);The exploration of reform in course contents of methods of mathematical physics[J];College Physics;2004-06
7 MIN Qi (Department of Physics, Honghe University, Mengzi 661100,China);The definition for δ function and its properties[J];College Physics;2004-09
8 CAO Shao-zhong,LI Yang(College of Information and Mechanical Engineering,Beijing Institute of Graphic Communication,Beijing 102600,China);Series Solution for the Nonlinear Dynamic Equation of Pulsed Beams in Six Dimensional Phase Spaces[J];Acta Electronica Sinica;2011-S1
9 ZHANG Xue-yuan (Dept.of Maths and Phy.,Hunan Institute of Engineering,Xiangtan 411104,China);The Parameter Solution of One Kind of Ordinary Differential Equation and Its Application[J];Journal of Hunan Institute of Engineering;2004-04
10 TANG Can-qin1,LIU Bing-wen2(1.Department of Mathematics,Dalian Maritime University,Dalian,Liaoning 116026,China;2.College of Mathematics and Information Engineering,Jiaxing University, Jiaxing,Zhejiang 314001,China);The Existence and Uniqueness of Solution to a Class of Ordinary Differential Equations[J];College Mathematics;2011-02
China Proceedings of conference Full-text Database 1 Hits
1 ZHOU Jun-he,CHEN Jian-ping (The State Key Laboratory on Fiber-Optic Local Area Communication Networks and Advanced Optical Communication Systems,Shanghai Jiao Tong University,Shanghai 200030,P.R.China);A Novel Algorithm to Calculate Raman Amplifier backward Pump Power[A];[C];2003
©2006 Tsinghua Tongfang Knowledge Network Technology Co., Ltd.(Beijing)(TTKN) All rights reserved