题目：Some problems about a family of linear functional differential equations
摘要：Given q between 0 and 1, one considers the following problems about the q-difference-differential equation y′(x) = ay(qx) + by(x) + f (x),where a and b are two complex numbers and where f is a rational function:
(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).