An oscillation result for some higher order linear differential equations

HU Meng-Wei; HUANG Zhi-Gang; SUN Gui-Rong

doi:10.3969/j.issn.1000-5641.2015.01.009

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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 Sciences), 2015, (1): 75-83. doi: 10.3969/j.issn.1000-5641.2015.01.009

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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 Sciences), 2015, (1): 75-83. doi: 10.3969/j.issn.1000-5641.2015.01.009

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An oscillation result for some higher order linear differential equations

doi: 10.3969/j.issn.1000-5641.2015.01.009

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
Publish Date: 2015-01-25

Abstract

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.
- complex differential equations,
- entire function,
- growth of order,
- exponent of convergence of zeros

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References(1)

References

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