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

Michael Gil’

doi:10.1007/s42967-022-00219-9

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

Michael Gil’

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Journal	Communications on Applied Mathematics and Computation
DOIs	https://doi.org/10.1007/s42967-022-00219-9
State	Accepted/In press - 1 Jan 2022

Keywords

Linear equations
Ordinary differential equations
Zeros of solutions

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1007/s42967-022-00219-9

Cite this

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title = "Inequalities for Sums and Products of Complex Zeros of Solutions to ODE with Polynomial Right Parts",

abstract = "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.",

keywords = "Linear equations, Ordinary differential equations, Zeros of solutions",

author = "Michael Gil{\textquoteright}",

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AB - 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.

KW - Linear equations

KW - Ordinary differential equations

KW - Zeros of solutions

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JO - Communications on Applied Mathematics and Computation

JF - Communications on Applied Mathematics and Computation

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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