Growth and fixed points of solutions and their arbitrary-order derivatives of higher-order linear differential equations in the unit disc

DOI10.1186/s13662-021-03579-3zbMath1494.34189OpenAlexW3202281087WikidataQ115241172 ScholiaQ115241172MaRDI QIDQ2167193

Zhan-Mei Chen, Yu Chen, Wei-wei Wang, Guan Tie Deng

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03579-3

zbMATH Keywords

fixed pointsanalytic functionlinear differential equationunit disciterated order

Mathematics Subject Classification ID

Value distribution of meromorphic functions of one complex variable, Nevanlinna theory (30D35) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Oscillation, growth of solutions to ordinary differential equations in the complex domain (34M10) Linear ordinary differential equations and systems in the complex domain (34M03)

Cites Work

• Complex linear differential equations with certain analytic coefficients of \([p, q\)-order in the unit disc]
• Nevanlinna theory and complex differential equations
• Adaptive pinning impulsive synchronization of dynamical networks with time-varying delay
• Some further results on the zeros and growths of entire solutions to second order linear differential equations
• Growth of solutions of an \(n\)-th order linear differential equation with entire coefficients.
• The growth of solutions of linear differential equations with coefficients of iterated order in the unit disc
• A Survey on Blaschke-Oscillatory Differential Equations, with Updates
• Growth of solutions of a class of complex differential equations
• Solutions of non-homogeneous linear differential equations in the unit disc
• Finite Order Solutions of Second Order Linear Differential Equations
• Linear Differential Equations and Logarithmic Derivative Estimates
• Estimation of the hyper-order of entire solutions of complex linear ordinary differential equations whose coefficients are entire functions
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