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
Pages (from-to)	1524-1533
Number of pages	10
Journal	Communications on Applied Mathematics and Computation
Volume	5
Issue number	4
DOIs	https://doi.org/10.1007/s42967-022-00219-9
State	Published - 1 Dec 2023

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.",

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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.

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KW - Ordinary differential equations

KW - Zeros of solutions

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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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