特邀西班牙巴塞罗那自治大学Jaume Llibre教授来校作学术报告

发布者:郭帅发布时间:2019-10-28浏览次数:10

报告题目:On the complete integrability of the n-dimensional differential systems

报告人:Jaume Llibre 教授

时间:20191029日上午9:50-10:40

地点:藕舫楼818

主持人:鲁世平教授

报告人简介:

西班牙巴塞罗那自治大学教授,西班牙皇家科学院院士,2009年获西班牙ICREA  Academia奖。研究方向为常微分方程与动力系统。已培养博士生30余名,指导博士后40余名,在动力系统领域做出了重要贡献。 主要结果发表在:Memory of American Mathematical SocietyCommunications on Pure and Applied MathematicsAdvances in MathematicsMathematische AnnalenTransactions of American Mathematical Society等世界一流数学期刊上。 是国际上多个SCI杂志的主编或编委:Qualitative Theory of Dynamical Systems (SCI, 主编)Nonlinear Analysis: Real World Applications (SCI, 编委)International Journal of Bifurcation and Chaos (SCI, 编委)Journal of Applied Analysis and Computation (SCI, 编委)Journal of Difference Equations and Applications (SCI, 编委)

报告摘要:

It is well known that if  is an integrating factor of a planar differential systemthen this system has a first integralsuch that

First we shall extend this result to completely integrable differential systems in

Second we provide two improvements to the classical Jacobi Theorem on the complete integrability of the

dimensional differential systems havingindependent first integrals and a Jacobi multiplier.

Finally we apply the previous results obtained for the completely integrable dimensional differential to some classes of Lotka-Volterra differential systems in.

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                                                              数学与统计学院

20191028