Sums of zeros of solutions to second order ODE with non-polynomial coefficients

Michael I. Gil

Sums of zeros of solutions to second order ODE with non-polynomial coefficients

Michael I. Gil

Department of Mathematics

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

4 Scopus citations

Abstract

We consider the equation y″ = F(z)y (z {small element of} ℂ) with an entire function F satisfying the condition. Let z _k(y), k = 1, 2,... be the zeros of a solution y(z) to the above equation. Bounds for the sums are established. Some applications of these bounds are also considered.

Original language	English
Journal	Electronic Journal of Differential Equations
Volume	2012
State	Published - 25 Jun 2012

Keywords

Complex differential equation
Zeros of solutions

ASJC Scopus subject areas

Analysis

Cite this

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abstract = "We consider the equation y″ = F(z)y (z {small element of} ℂ) with an entire function F satisfying the condition. Let z k(y), k = 1, 2,... be the zeros of a solution y(z) to the above equation. Bounds for the sums are established. Some applications of these bounds are also considered.",

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AU - Gil, Michael I.

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N2 - We consider the equation y″ = F(z)y (z {small element of} ℂ) with an entire function F satisfying the condition. Let z k(y), k = 1, 2,... be the zeros of a solution y(z) to the above equation. Bounds for the sums are established. Some applications of these bounds are also considered.

AB - We consider the equation y″ = F(z)y (z {small element of} ℂ) with an entire function F satisfying the condition. Let z k(y), k = 1, 2,... be the zeros of a solution y(z) to the above equation. Bounds for the sums are established. Some applications of these bounds are also considered.

KW - Complex differential equation

KW - Zeros of solutions

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M3 - Article

AN - SCOPUS:84863441534

SN - 1072-6691

VL - 2012

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

ER -

Sums of zeros of solutions to second order ODE with non-polynomial coefficients

Abstract

Keywords

ASJC Scopus subject areas

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