一类高阶微分方程的复振荡

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)\mathrme^P_j(z)(j=0,1,\cdots,k-1), A_j(z),F(z)是整函数,\sigma(A_j)

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)\mathrme^P_j(z)(j=0,1,\cdots,k-1),A_j(z),F(z) are entire entire functions, \sigma(A_j)