勷勤数学•专家报告

题      目：Meromorphic Solutions to Higher Order Nonlinear Delay Differential Equations

报  告  人：李叶舟 教授  (邀请人：黄志波)

                                   北京邮电大学

时      间：1月5日  11：00-12：00

地     点：数科院东楼401

报告人简介:

       李叶舟，博士，北京邮电大学教授，博士研究生导师。从事复域微分方程理论，值分布理论和复动力系统的研究，主持国家自然科学基金4项。

摘      要：

       Let $w(z)$ be non-rational meromorphic solutions with hyper-order less than 1 to a family of higher order nonlinear delay differential equations
$$ w(z + 1)w(z − 1) + a(z)\frac{w^{(k)} (z)}{w(z)}= R(z, w(z)), k \in \mathbb{N}^{+}, $$ where $a(z)$ is rational, $R(z, w(z)) = \frac{P (z,w(z))}{Q(z,w(z))} is an irreducible rational function in$ w$ with rational coefficients in $z$. This paper mainly show the relationships of the degree of $P(z, w(z))$ and $Q(z, w(z))$ when the above equations exist such solutions $w(z)$. There are also some examples to show that our results are sharp.

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