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《Journal of the Graduate School of the Chinese Academy of Science》 1997-01
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On the Existence of Periodic Solution for a Kind of Second Order Nonautonomous Systems

Shi Yuanjun (Institute of Mathematics,Academia Sinica,Beijing 100080)  
On the basis of several theorems concerning the second order system and directly based on the properties of systematic Lyapunov function, we establish an existence theorem which may be used to distinguish the existenceness of periodic solution, then, in accordance with a kind of second order nonautonomous and nonlinear systems, we construct some suitable Lyapunov function and study the existence property of periodic solution of these system.
【CateGory Index】: N941
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 GAO Fa-bao,LU Shi-ping(College of Mathematics and Computer Science,Anhui Normal University,Wuhu 241000,China);Global Stability for a Class of Third Order Nonlinear Systems with Three Nonlinear Terms[J];Journal of Anhui Normal University(Natural Science);2008-03
2 LI-Bo,YUAN Xin-Sheng (Department of Mathematics, Anyang Teachers College, Anyang 455000,China);On the Global Asymptotic Stability of a Type of Nonlinear Third Order Systems[J];Journal of Anyang Teachers College;2004-05
3 Liang Zaizhong ( Department of Applied Mathematics );On Generalization of Stability of the Trivial Solution for A Nonlinear Equation of Order Four[J];Journal of Beijing Polytechnic University;1993-02
4 Liang Zaizhong ( Department of Applied Mathematics );On the Stability of the Trivial Solution for Equations of Order 4 with Four Nonlinear Terms (Ⅰ)[J];Journal of Beijing Polytechnic University;1993-04
5 Liang Zaizhong (Department of Applied Mathematics, Beijing Polytechnic Univeroity, 100022);A Series of Discusions on the Stability of the Trivial Solution for the Equations of Order 4 with Four Nonlinear Terms(Ⅱ)[J];JOURNAL OF BEIJING POLYTECHNIC UNIVERSITY;1995-03
6 YANG Jin-kun,SUN Bao-cang,YE Qi-hai(Faculty of Science,Jiangsu University,Zhenjiang 212013,China);Globally asymptotic stability of a class of third-order nonlinear system[J];Journal of Chengdu University of Information Technology;2009-03
7 Yang\ QiguiYang\ Fangmin (Department of Mathematics and Computer,Guangxi Normal University,Guilin )(Chongqing Jiaotong Institute);Existence of Periodic Solution for a Class of Planar Nonautonomous System[J];JOURNAL OF CHONGQING JIAOTONG INSTITUTE;1997-01
8 Dai Linxun(Hunan Education Institute Changsha 410012);On the Stability of the Zero Solution for a Nonlinear System of Ordinary Differential Equations[J];JOURNAL OF CHANGSHA UNIVERSITY OF ELECTRIC POWER(NATURAL SCIENCE);1998-04
9 Yang Xiaoai(Basic courses Department);GLOBAL STABILITY FOR A CLASS OF THIRD ORDER NONLINEAR SYSTEMS[J];JOURNAL OF CHANGSHA COMMUNICATIONS UNIVERSITY;1997-02
10 Zhang Xiaolin Zhang Qishan(Beijing University of Aeronautics and Astronauts);One Kind of Nonlinear Qualitative Analysis and Estimate Method of High Order Phase Lock Loop[J];Transactions of China Electrotechnical Society;1997-01
China Proceedings of conference Full-text Database 1 Hits
1 Gao Suzhi (Dept of Maths,Beijing Normal Vniversity,Beijing 100875);On Global Asymptotic Stability of Second Order Nonlinear Differential Equation[A];[C];1996
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