報(bào) 告 人：孫華清 教授

報(bào)告題目：Classification and Weyl functions of a class of singular matrix differential equations of mixed- order

報(bào)告時(shí)間：2024年12月16日（周一）下午4點(diǎn)

報(bào)告地點(diǎn)：靜遠(yuǎn)樓1508會(huì)議室

主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院、數(shù)學(xué)研究院、科學(xué)技術(shù)研究院

報(bào)告人簡(jiǎn)介：

       孫華清，東北大學(xué)教授，博士生導(dǎo)師，微分方程及其應(yīng)用遼寧省教育廳重點(diǎn)實(shí)驗(yàn)室主任，遼寧省數(shù)學(xué)會(huì)數(shù)學(xué)交叉與應(yīng)用委員會(huì)主任，遼寧省首席科學(xué)傳播專家，沈陽市領(lǐng)軍人才。從事奇異微分與差分算子譜理論研究，在“J. Funct. Anal.”，“J. Differential Equations”，“Proc. Roy. Soc. Edinburgh Sect. A”，“Stud. Math. Appl.”等國際權(quán)威雜志上發(fā)表和接受30多篇。曾主持完成國家自然科學(xué)基金項(xiàng)目和省部級(jí)項(xiàng)目多項(xiàng)，參與國家級(jí)和省級(jí)項(xiàng)目多項(xiàng)。

報(bào)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.