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《Chinese Journal of Engineering Mathematics》 2003-01
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The Generalization of Theorems About Liapunov Stability Theory

LU Yuhua1,2,XU Run2(1Department of mathematic, Qufu Normal University, Qufu 273165;2Mathematics School of Nankai University, Tianjin 300072)  
We improve some conditions about Liapunov function V(t,x), generalized some theorems about the stability of the solution x=0 of equation group:dxdt=f(t,x),f(t,0)=0
【Fund】: 山东省自然科学基金项目(Y2001A03).
【CateGory Index】: O175.5
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【References】
Chinese Journal Full-text Database 7 Hits
1 ZHAO Yu-zhong,GUO Ji-feng (College of Science,Qingdao Technological University,266033,Qingdao,Shandong,China);Generalization of Some Theorems on Liapunov Stability[J];Journal of Huaibei Coal Industry Teachers College(Natural Science Edition);2008-04
2 MENG Li-ping (School of Information Engineering,Lanzhou University of Finance and Economics,Lanzhou 730020,China);Application of Stability of Differential Equation Zero Solution in Control Theory[J];Journal of Jiamusi University(Natural Science Edition);2010-01
3 Wang Ruilian(College of Statistics and Mathematics ,Inner Mongolia Finance and Economics College,Huhhot 010051 );The Generalization of theorems about stability theory[J];Journal of Inner Mongolia Finance and Economics College;2010-05
4 GAO Lian~1,BAO Shu-hong~2(1.College of Science,Inner Mongolia Agricultural University,Huhhot 010018,China;2.College of Electricity,Inner Mongolia Industrial University,Huhhot 010080,China);The Generalization of Theorems about Lyapunov Stability Theory[J];Journal of Inner Mongolia Normal University(Natural Science Edition);2006-04
5 HU Fen(College of Mathematics & Computer,Chongqing Normal University,Chongqing 400047,China);Several Decision Theorems about Stability and Uniformly Stability of Zero Solution[J];Journal of Tonghua Normal University;2008-04
6 Hu Yaguang Jian Jigui (College of Science,China Three Gorges Univ.,Yichang 443002,China);Stability of Zero Solution of Nonlinear and Nonautonomous System[J];Journal of China Three Gorges University(Natural Sciences);2008-05
7 FU Hua,QIN Hong-li,ZHOU Ju-zheng(College of Mathematics and Computer Science,Yan an University,Yan an 716000 Shanxi);The Generalization of Theorems about Stability of n-dimensiond Norlinear Systems[J];Journal of Yanan University(Natural Science Edition);2011-04
【Citations】
Chinese Journal Full-text Database 1 Hits
1 Yu Bohua;On Some Theorems of Liapunov's Asymptotic Stability[J];JOURNAL OF HANGZHOU UNIVERSITY(NATURE SCIENCE);1979-Z1
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 GUO Hong xia (Department of Mathematics, Yantai Teachers College, Yantai Shandong 264025);Stability of the Null Solution to the Disturbed Difference Equations[J];Chinese Journal of Engineering Mathematics;2002-01
2 CHENG Jian(Department of Mathematics,Hubei Normal University,Huangshi 435002,China);On improvement of the theorems stability of the zero solution of the disturbed equation[J];Journal of Hubei Normal University(Natural Science);2004-03
3 XU Run 1,REN An zhong 2 (1.Department of Mathematics,Qufu Normal University, Shandong Qufu,273165,China; 2.Sanmenxia Vocational and Technica College,Henan Sanmenxia,472000,China)$$$$;The Generalization of the Theory About the Stability Theory of Difference Equation System[J];Journal of Henan Normal University(Natural Science);2002-03
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9 GAO Lian~1,BAO Shu-hong~2(1.College of Science,Inner Mongolia Agricultural University,Huhhot 010018,China;2.College of Electricity,Inner Mongolia Industrial University,Huhhot 010080,China);The Generalization of Theorems about Lyapunov Stability Theory[J];Journal of Inner Mongolia Normal University(Natural Science Edition);2006-04
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【Secondary References】
Chinese Journal Full-text Database 4 Hits
1 ZHAO Yu-zhong,GUO Ji-feng (College of Science,Qingdao Technological University,266033,Qingdao,Shandong,China);Generalization of Some Theorems on Liapunov Stability[J];Journal of Huaibei Coal Industry Teachers College(Natural Science Edition);2008-04
2 HU Fen(College of Mathematics & Computer,Chongqing Normal University,Chongqing 400047,China);Several Decision Theorems about Stability and Uniformly Stability of Zero Solution[J];Journal of Tonghua Normal University;2008-04
3 Hu Yaguang Jian Jigui (College of Science,China Three Gorges Univ.,Yichang 443002,China);Stability of Zero Solution of Nonlinear and Nonautonomous System[J];Journal of China Three Gorges University(Natural Sciences);2008-05
4 FU Hua,QIN Hong-li,ZHOU Ju-zheng(College of Mathematics and Computer Science,Yan an University,Yan an 716000 Shanxi);The Generalization of Theorems about Stability of n-dimensiond Norlinear Systems[J];Journal of Yanan University(Natural Science Edition);2011-04
【Secondary Citations】
Chinese Journal Full-text Database 3 Hits
1 Yu Bohua;On Some Theorems of Liapunov's Asymptotic Stability[J];JOURNAL OF HANGZHOU UNIVERSITY(NATURE SCIENCE);1979-Z1
2 ЛИЮЁ-ШЭН;ОСНОВНОЕ НЕРАВЕНСТВО И ЕДИНСТВЕННОСТЪ РЕШЕНИЯ ДИФФЕРЕНЦИАЛЪНЫХ УРАВНЕНИЙ(Ⅰ)[J];Journal of Jilin University;1960-01
3 Chow Shu-er;ON STABILITY AND INSTABILITY THEOREMS OF LIAPOUNOFF'S SECOND METHOD[J];Journal of Sichuan University (Natural Science Edition);1960-01
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