一类亚纯函数系数微分方程的复振荡

Abstract

Abstract:

This article is devoted to studying the higher order linear differential equations f^(k)+A_k_-2f^(k-2)+…+A₁f'+A₀f=0, where A_j(z)~(j=0,1, …, k-2) are meromorphic functions with at most finitely many poles. We show that small perturbations of such equations lead to solutions whose zeros must have infinite exponent of convergence. Extends some results of Alotaibi etc.

Key words: Linear differential equation, Exponent of convergence of zero-sequence, Meromorphic funtion, Finite poles

CLC Number:

34M10

SUN Gui-Rong. Oscillation Theory of Solution of a Class of Higher Order Linear Differential Equations with Meromorphic Coefficient[J].Acta mathematica scientia,Series A, 2014, 34(6): 1426-1434.

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References

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Oscillation Theory of Solution of a Class of Higher Order Linear Differential Equations with Meromorphic Coefficient

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