Inequalities for Sums and Products of Complex Zeros of Solutions to ODE with Polynomial Right Parts  

作　　者：Michael Gil’ 

机构地区：[1]The Department of Mathematics,Ben-Gurion University of the Negev,Beer-Sheva,84105,Israel

出　　处：《Communications on Applied Mathematics and Computation》2023年第4期1524-1533,共10页应用数学与计算数学学报（英文）

摘　　要：The paper is devoted to non-homogeneous second-order differential equations with polynomial right parts and polynomial coefficients.We derive estimates for the partial sums and products of the zeros of solutions to the considered equations.These estimates give us bounds for the function counting the zeros of solutions and information about the zero-free domains.

关 键 词：Ordinary differential equations Linear equations Zeros of solutions 

分 类 号：O17[理学—数学]