The growth of solutions of non-homogeneous linear differential equations
type: Item
instance of: scholarly article
title: The growth of solutions of non-homogeneous linear differential equations
zbMATH Open document ID: 1489.34126
author: Yanyan Li
published in: Kodai Mathematical Journal
publication date: 2021-12-14T00:00:00Z
full work available at URL: kmj44306.full
review text: Infinite order of entire solutions to non-homogeneous linear differential equations with entire coefficients is one of the most interesting and important topics in the field of complex differential equations. In this paper under review, the authors mainly consider the second order non-homegeneous linear differential equation \(f^{''}+A(f)f+B(z)f=H(z),\) where \(A, B\not\equiv 0\) \(H\not\equiv 0\) are entire functions. Some conditions are given to show the existence of infinite order entire solutions. The hyper order is also used to describe the growth of solutions. The results in this paper are interesting.
Mathematics Subject Classification ID: 34M10
Mathematics Subject Classification ID: 34M03
Mathematics Subject Classification ID: 34M05
Mathematics Subject Classification ID: 30D35
zbMATH DE Number: 7444591
zbMATH Keywords: entire function
zbMATH Keywords: order of growth
zbMATH Keywords: non-homogeneous differential equation
zbMATH Keywords: Nevanlinna theory
MaRDI profile type: Publication
OpenAlex ID: W3208210297
Wikidata QID: Q115224323
cites work: On the frequency of zeros of solutions of second order linear differential equations
cites work: Some further results on the zeros and growths of entire solutions to second order linear differential equations
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: Estimates for the Logarithmic Derivative of a Meromorphic Function, Plus Similar Estimates
cites work: Finite Order Solutions of Second Order Linear Differential Equations
cites work: Characteristic, Maximum Modulus and Value Distribution
cites work: On Zeros and Growth of Solutions of Second Order Linear Differential Equations
cites work: Order and hyper-order of solutions of second order linear differential equations
cites work: Nonexistence of finite order solutions of certain second order linear differential equations
cites work: Maximum modulus, characteristic, deficiency and growth of solutions of second order linear differential equations
cites work: Nevanlinna theory and complex differential equations
cites work: Growth of solutions of second order linear differential equations
cites work: On the relationship between the lower order of coefficients and the growth of solutions of differential equations
cites work: Growth of solutions of certain higher order linear differential equations
cites work: On the growth of solutions to the complex differential equation \(f^{\prime \prime} + Af^{\prime} + Bf = 0\)
cites work: The growth of solutions of \(f''+e^{-z}f'+Q(z)f=0\) where the order \((Q)=1\).
DOI: 10.2996/KMJ/KMJ44306
description: scientific article; zbMATH DE number 7444591