应用数学2024，Vol.37Issue(4)：1154-1162,9.
单位圆内高阶非齐次微分方程复振荡与解及其任意阶导数的不动点
Oscillation and Fixed Points of Solutions and Their Arbitrary-order Derivatives of Higher-order Nonhomogeneous Differential Equations in the Unit Disc
摘要
Abstract
In this paper,we investigate the oscillation and fixed points of solutions and their arbitrary-order derivatives of higher-order nonhomogeneous linear differential equations with analytic co-efficients of finite iterated order in the unit disc.We obtain more precise estimation on the iterated order and iterated convergence exponent for the sequences of zeros of solutions,especially on the distributions of the fixed points of the solutions and their arbitrary-order derivatives.The obtained results are some extension of the previous relevant results.关键词
微分方程/解析函数/单位圆/零点收敛指数/不动点Key words
Differential equation/Analytic function/Unit disc/Convergence exponent of the sequence of zeros/Fixed point分类
数理科学引用本文复制引用
陈玉,邓冠铁..单位圆内高阶非齐次微分方程复振荡与解及其任意阶导数的不动点[J].应用数学,2024,37(4):1154-1162,9.基金项目
国家自然科学基金(11971042,12071035) （11971042,12071035）
江西省教育厅科学技术研究项目(GJJ210314) （GJJ210314）
江西师范大学博士科研基金(12021323) （12021323）
