一类高阶微分方程的复振荡

详细信息

THE COMPLEX OSCILLATION OF A CLASS OF HIGHER ORDER DIFFERENTIAL EQUATION

摘要: 研究了微分方程 $f^{(k)}+H_{k-1}(z)f^{(k-1)}+\cdots+H_0(z)f=F(z)$ 解的增长率,其中\\ $H_j(z)=A_j(z)\mathrm{e}^{P_j(z)}(j=0,1,\cdots,k-1), A_j(z),F(z)$ 是整函数,$\sigma(A_j)
- 微分方程 /
- 整函数 /
- 级 /
- 超级
Abstract: The growth of solutions of the differential equation $f^{(k)}+H_{k-1}(z)f^{(k-1)}+\cdots+H_0(z)f=F(z)$ is investigated, where $H_j(z)=A_j(z)\mathrm{e}^{P_j(z)}(j=0,1,\cdots,k-1),A_j(z),F(z)$ are entire entire functions, $\sigma(A_j)
- differential equation /
- entire functions /
- the growth of order /
- hyper-order