报告题目：On a Family of Linear Functional Differential Equations

报告时间：2023-05-09  16:00-17:00

报告人：Prof.ZHANG Changgui, Dep.of Math, University of Lille

报告地点：理学院东北楼209报告厅

Abstract: Given 0<q<1, consider the functional differential equation y’(x) = a y(qx)+ b y(x) + f (x), where a and b are two complex numbers and f is a rational function. The following problems will be involved:

　(1) The pantograph equations following Kato and McLeod;

　(2) The indexes of the associated operator d/dx − aσ q − b;

　(3) The connection formulas between zero and infinity;

　(4) The asymptotic behavior of the solutions at infinity.　

　This talk is partially based on a joint work with H. Dai and G. Chen (HITSZ).