Zeros of entire solution of second order differential equations

报告题目:Zeros of entire solution of second order differential equations


报告人:Walter Bergweiler (Mathematical Seminar, Christian Albrechts Universitat zu Kiel, German)


时间:2014926(星期五) 1530-1630




摘要:We consider the differential equation w''+Aw = 0 and study the question when there are two linearly independent solutions with few zeros. After reviewing the results for a polynomial coefficient A we discuss various results due to Bank, Laine and others dealing with the case of a transcendental entire coefficient A. We then discuss the disproof of a conjecture of Bank and Laine on the topic. Our key method is quasi-conformal surgery. This is joint work with Alexandre Eremenko. The paper can be found in http://arxiv.org/abs/1408.2400


报告人简介:Ph.D. 1986 (Aachen), visiting lecturer at Cornell University (1987-89) and Hong Kong University of Science and Technology (1991/92), Heisenberg fellow at Technical University of Berlin (1995/1996); Professor at the University of Kiel since 1996; Visiting Professor at Purdue University (2005/06) and Chinese Academy of Sciences (2010/11).

Prof. Bergweiler’s main research area is complex analysis. He published more than one hundred papers in complex dynamics, theory of entire and meromorphic functions, differential and functional equations in the complex domain, quasiregular maps in higher dimension and normal families. His papers has been cited by about one thousand times. Therefore His works become an important part of complex analysis field.




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