摘要
当存在某个系数较其他系数有较快增长的意义下对方程解的性质起支配作用时,研究了一类高阶非齐次线性微分方程的解与小函数的关系,得到了非齐次线性微分方程的解取小函数的点的收敛指数与二级收敛指数。
In this paper, when there is a coefficient that is main dominating to the properties of the solutions of the equations,we investigate the relations between solutions of a class of higher order non-homdgeneous linear differential equations with functions of smaller growth, obtain exponent of convergence and hyper-exponent of convergence of solutions of non-homogeneous differential equations taking functions of smaller growth.
出处
《江西教育学院学报》
2009年第3期1-3,共3页
Journal of Jiangxi Institute of Education
基金
国家自然科学基金资助项目(10161006)
江西省教育厅资助项目(赣教技字[2007]135)
关键词
高阶线性微分方程
小函数
二级收敛指数
higher order linear differential equations
functions with smaller growth
hyper-exponent of convergence
