The growth of solutions of non-homogeneous linear differential equations

DOI10.2996/kmj/kmj44306zbMath1489.34126OpenAlexW3208210297WikidataQ115224323 ScholiaQ115224323MaRDI QIDQ2059568

Yanyan Li

Publication date: 14 December 2021

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/kodai-mathematical-journal/volume-44/issue-3/The-growth-of-solutions-of-non-homogeneous-linear-differential-equations/10.2996/kmj/kmj44306.full

zbMATH Keywords

entire functionNevanlinna theoryorder of growthnon-homogeneous differential equation

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

• On the relationship between the lower order of coefficients and the growth of solutions of differential equations
• On the growth of solutions to the complex differential equation \(f^{\prime \prime} + Af^{\prime} + Bf = 0\)
• On the frequency of zeros of solutions of second order linear differential equations
• Nevanlinna theory and complex differential equations
• Maximum modulus, characteristic, deficiency and growth of solutions of second order linear differential equations
• The growth of solutions of \(f+e^{-z}f'+Q(z)f=0\) where the order \((Q)=1\).
• Some further results on the zeros and growths of entire solutions to second order linear differential equations
• Order and hyper-order of solutions of second order linear differential equations
• Nonexistence of finite order solutions of certain second order linear differential equations
• Growth of solutions of second order linear differential equations
• Characteristic, Maximum Modulus and Value Distribution
• Growth of solutions of certain higher order linear differential equations
• On the question of whether f″+ e^−zf′ + B(z)f = 0 can admit a solution f ≢ 0 of finite order
• Finite Order Solutions of Second Order Linear Differential Equations
• Estimates for the Logarithmic Derivative of a Meromorphic Function, Plus Similar Estimates
• Growth of solutions of second order linear differential equations
• On Zeros and Growth of Solutions of Second Order Linear Differential Equations

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