Growth and fixed points of solutions to second-order LDE with certain analytic coefficients in the unit disc

DOI10.1186/1687-1847-2013-342zbMath1391.30048OpenAlexW2146319777WikidataQ59301965 ScholiaQ59301965MaRDI QIDQ1653132

Ting-Yan Peng, Jin Tu, Hong Zhang, Guo-Yuan Dai, Hong-Yan Xu

Publication date: 17 July 2018

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

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-342

zbMATH Keywords

fixed pointssecond-order linear differential equationsunit dischyperorder

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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• Non-existence of finite order solutions of \(w+e^{-z}w'+Q(z)w=0\)
• The growth, oscillation and fixed points of solutions of complex linear differential equations in the unit disc
• The growth of solutions of \(f+e^{-z}f'+Q(z)f=0\) where the order \((Q)=1\).
• The growth of solutions of linear differential equations with coefficients of iterated order in the unit disc
• On the question of whether f″+ e^−zf′ + B(z)f = 0 can admit a solution f ≢ 0 of finite order
• Linear Differential Equations and Logarithmic Derivative Estimates

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