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INSTABILITY OF SOLUTION FOR A CLASS OF THE THIRD ORDER NONLINEAR DIFFERENTIAL EQUATION 被引量:1
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作者 卢德渊 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1995年第12期1185-1200,共16页
In Ref [1] the asymptotic stability of nonlinear slowly changing system has been discussed .In Ref [2] the instability of solution for the order linear differential equaiton with varied coefficient has been discussed ... In Ref [1] the asymptotic stability of nonlinear slowly changing system has been discussed .In Ref [2] the instability of solution for the order linear differential equaiton with varied coefficient has been discussed .In this paper,we have discussed instability of solution for a class of the third order nonlinear diffeential equation by means of the metod of Refs [1] and [2] . 展开更多
关键词 ordinary difterential cquation motive stability theory .nonlinear differential equation
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THEORY OF SINGULAR POINTS OF ORDINARY DIFFERENTIAL EQUATIONS IN COMPLEX DOMAIN
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作者 秦元勋 赵怀忠 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1992年第4期298-317,共20页
In this paper, the topological of integral surfaces near certain of Lyapunov type singularpoints and certain type of nodes of ordinary differential equations in complex domain are studied.We introduce Briot-Bouquet tr... In this paper, the topological of integral surfaces near certain of Lyapunov type singularpoints and certain type of nodes of ordinary differential equations in complex domain are studied.We introduce Briot-Bouquet transformation, in order to study the topological structure of integralsurfaces near higher order singular points. At last we give an estimate of the makimum numberof isolated limit integral surfaces passing through certain type of higher order singular points. 展开更多
关键词 theory OF SINGULAR POINTS OF ordinary differential equationS IN COMPLEX DOMAIN BZB 切二
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