报 告 人：孙华清 教授
报告题目：Classification and Weyl functions of a class of singular matrix differential equations of mixed- order
报告时间：2024年12月16日（周一）下午4点
报告地点：静远楼1508会议室
主办单位：数学与统计学院、数学研究院、科学技术研究院
报告人简介：
孙华清，东北大学教授，博士生导师，微分方程及其应用辽宁省教育厅重点实验室主任，辽宁省数学会数学交叉与应用委员会主任，辽宁省首席科学传播专家，沈阳市领军人才。从事奇异微分与差分算子谱理论研究，在“J. Funct. Anal.”，“J. Differential Equations”，“Proc. Roy. Soc. Edinburgh Sect. A”，“Stud. Math. Appl.”等国际权威杂志上发表和接受30多篇。曾主持完成国家自然科学基金项目和省部级项目多项，参与国家级和省级项目多项。
报告摘要：
This paper is concerned with a class of singular matrix differential operators of mixed-order.
Boundary triples and Weyl functions for abstract linear relations are defined, and some properties are presented. Then, the corresponding maximal and minimal operators are defined, and the adjoint relationships between them are proved. In particular, the limit point and limit circle classification of these differential expressions are given. Based on the above results, Weyl functions of this class of singular matrix differential operators of mixed-order are obtained.