摘要
运用值分布理论研究了高阶慢增长系数线性微分方程的解及其导数的不动点问题.当存在某个系数对方程的解的性质起主要支配作用时,得到了方程解及其导数的不动点收敛指数的精确估计,推广了有关文献中的结论.
In this paper,we investigate the fixed points of solutions and of the derivatives of solutions of higher order linear differential equations with small growth.If there exits some coefficient which is dominant,then we obtain some precise estimates to the exponents of convergence of the fixed points of solutions and of derivatives of solutions.Extends some result of concerned literature.
出处
《纯粹数学与应用数学》
CSCD
2011年第3期348-356,共9页
Pure and Applied Mathematics
基金
苏州科技学院科研基金(zl305)
关键词
线性微分方程
慢增长系数
超级
不动点
differential equation
function of small growth
super order
fixed poin