Oscillation of arbitrary-order derivatives of solutions to the higher order non-homogeneous linear differential equations taking small functions in the unit disc

DOI10.3934/MATH.2021798OpenAlexW3204740108MaRDI QIDQ2142945

Pan Gong, Hong-Yan Xu

Publication date: 30 May 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021798

zbMATH Keywords

small functionunit discarbitrary-order derivativenon-homogeneous linear differential equation

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10)

Cites Work

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• The growth of solutions of differential equations with coefficients of small growth in the disc
• The growth of solutions of linear differential equations with coefficients of iterated order in the unit disc
• Solutions of non-homogeneous linear differential equations in the unit disc
• On Growth k-Order of Solutions of a Complex Homogeneous Linear Differential Equation
• Linear Differential Equations and Logarithmic Derivative Estimates
• Linear differential equations with analytic coefficients of [p,q-order in the unit disc]

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