应学院副院长吴楚芬教授的邀请,东北大学孙华清教授于9月3日上午9点,在致用楼学院501开展了关于“On essential spectra of singular Hamiltonian systems”的学术报告。吴楚芬教授主持学术报告会,学院微分方程方向老师及研究生参会。整个学术报告精彩纷呈,理论与应用相结合,引起了师生热烈的反响。报告后,孙华清教授针对研究生和年轻博士老师们提出的疑问,开展了专门的辅导,并确定了合作的研究内容。
报告简介:This talk is concerned with essential spectra of Hamiltonian systems with one singular endpoint. The characterization of each element of the essential spectrum in terms of certain singular sequences is given, the concept of perturbation small at the singular endpoint is introduced, and the stability of the essential spectrum is obtained under this perturbation. Some sufficient conditions for the invariance of the essential spectrum are given in terms of coefficients of Hamiltonian systems. In addition,the corresponding results are obtained for the essential numerical ranges of semi-bounded systems.
孙华清教授简介:东北大学教授,博士生导师,东北大学数学与交叉科学研究中心主任,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。
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