数学杂志2024，Vol.44Issue(4)：317-330,14.
关于二阶Fermat型常微分方程的整函数解
ON ENTIRE SOLUTIONS OF THE SECOND-ORDER FERMAT-TYPE ORDINARY DIFFERENTIAL EQUATIONS
摘要
Abstract
This article investigates the problem of the entire function solution of second-order Fermat type ordinary differential equation(a1f+b1f'+c1f")2+(a2f+b2f'+c2f")2=γ,whereγ is the entire function on C.Using the method of Nevanlinna value distribution theory,we obtain the necessary and sufficient conditions for the existence of an entire function solution to the equation,and provide the expression of the solution.关键词
二阶Fermat型复微分方程/Nevanlinna值分布理论/整函数Key words
second-order Fermat-type ordinary differential equation/Nevanlinna value distribution theory/entire function分类
数理科学引用本文复制引用
张宇,杨刘..关于二阶Fermat型常微分方程的整函数解[J].数学杂志,2024,44(4):317-330,14.基金项目
国家自然科学基金资助(11701006) （11701006）
安徽省高等学校科学研究项目资助(2022AH050329,2022AH050290). （2022AH050329,2022AH050290）
