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

被引：0

作者：

Gil', Michael ^{[1
]}

机构：

[1] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel

来源：

COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION | 2023年 / 5卷 / 04期

关键词：

Ordinary differential equations; Linear equations; Zeros of solutions;

D O I：

10.1007/s42967-022-00219-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：1524 / 1533

页数：10

共 12 条

[1] Inequalities for Sums and Products of Complex Zeros of Solutions to ODE with Polynomial Right Parts
Michael Gil’
Communications on Applied Mathematics and Computation, 2023, 5 : 1524 - 1533
[2] Sums of zeros of solutions to non-homogeneous ODE with polynomial coefficients
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[9] BOUNDS FOR THE SUMS OF ZEROS OF SOLUTIONS OF u(m) = P(z)u WHERE P IS A POLYNOMIAL
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[10] LIAPUNOVS DIRECT METHOD AND NUMBER OF ZEROS WITH POSITIVE REAL PARTS OF A POLYNOMIAL WITH CONSTANT COMPLEX COEFFICIENTS
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ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1967, S 47 : T62 - &

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