Journal of East China Normal University(Natural Science) >

2015 , Vol. 2015 >Issue 1: 75 - 83

DOI: https://doi.org/10.3969/j.issn.1000-5641.2015.01.009

Article

An oscillation result for some higher order linear differential equations

  • HU Meng-Wei ,
  • HUANG Zhi-Gang ,
  • SUN Gui-Rong
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  • 1. Department of Mathematics, University of Science and Technology of Suzhou, Suzhou Jiangsu 215009, China
    2. Xuchang Eelectrical Vocational College, Xuchang Henan 461000, China

Received date: 2013-12-01

  Online published: 2015-03-29

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Abstract

The distribution of zeros of solutions of higher order linear differential equations with entire coefficients was investigated by using complex oscillation theory of linear differential equations. It was proved that the exponent of convergence of zeros of every transcendental solution of the equations is infinite if given a small perturbation to one of the coefficients.

Key words： complex differential equations; entire function; growth of order; exponent of convergence of zeros

Cite this article

HU Meng-Wei , HUANG Zhi-Gang , SUN Gui-Rong . An oscillation result for some higher order linear differential equations[J]. Journal of East China Normal University(Natural Science), 2015 , 2015(1) : 75 -83 . DOI: 10.3969/j.issn.1000-5641.2015.01.009

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