一类高阶周期系数线性微分方程解的性质

基金项目:

国家自然科学基金资助项目

详细信息

The Property of Solution for a Class Higher Order Linear Differential Equations with Periodic Coefficients

摘要: 研究了一类高阶周期系数线性微分方程解的超级、e-型级和相关性等问题, 并得到了e-型级与超级之间的一些关系,以及这两种级与系数的精确关系.
- 线性微分方程 /
- 周期函数 /
- 线性无关
Abstract: In this paper, we study the problems on the hyper-order, the e-type order, the dependence relation of solutions for a class of higher order linear differential equations with periodic coefficients, and obtain some relations between e-type order and hyper-order, and precise relations between the two orders and coefficients.In this paper, using e-type order to estimate the growth of solutions of the equations, the estimation is more precise than using the order or the hyper-order.
- linearly differential equation /
- periodic function /
- linearly independent