Oscillation of solutions of linear differential equations
type: Item
instance of: scholarly article
title: Oscillation of solutions of linear differential equations
zbMATH Open document ID: 1155.34370
author: Jun Wang
author: Yezhou Li
publication date: 2008-06-11T00:00:00Z
review text: The paper under review is concerned with the second-order differential equation \[ f'' + e^{-z}f' + Q(z)f = F(z), \] where \(F(z)\) and \(Q(z)\) are entire functions with \(\rho (F)<1\) and \(Q(z) = h(z)e^{cz}\), \(\rho(h) < 1/2\), \(c\in\mathbb R\). The authors obtains several results on growth properties, zeros and fixed points distributions of the solutions of the equations bu using Nevanlinna's theory and Wiman-Valiron theory.
Mathematics Subject Classification ID: 34M10
Mathematics Subject Classification ID: 30D35
zbMATH DE Number: 5286527
zbMATH Keywords: complex differential equations
zbMATH Keywords: entire functions
zbMATH Keywords: hyper-order
reviewed by: Yuefei Wang
MaRDI profile type: Publication
full work available at URL: s10114-007-0981-1
OpenAlex ID: W2075938386
cites work: Q5723337
cites work: Q4112233
cites work: The zero, pole and order of meromorphic solutions of differential equations with meromorphic coefficients
cites work: Q3995409
cites work: Über die subnormalen Lösungen der Differentialgleichung \(w''+e^{-z} \cdot w'+\text{konst.} \cdot w = 0\)
cites work: Finite Order Solutions of Second Order Linear Differential Equations
cites work: On complex oscillation and a problem of Ozawa
cites work: On the question of whether f″+ e−zf′ + B(z)f = 0 can admit a solution f ≢ 0 of finite order
cites work: The growth of solutions of \(f''+e^{-z}f'+Q(z)f=0\) where the order \((Q)=1\).
cites work: Estimates for the Logarithmic Derivative of a Meromorphic Function, Plus Similar Estimates
cites work: ON A THEOREM OF BESICOVITCH
cites work: The Local Growth of Power Series: A Survey of the Wiman-Valiron Method
DOI: 10.1007/S10114-007-0981-1
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published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 5286527