ON OSCILLATION THEOREMS. FOR HIGHER ORDER DIFFERENTIAL EQUATIONS

摘要

In this paper,we investigate the complex oscillation of the differential equation f(k)+Ak-1f(k-1)…+A1f1+A0f=F(x) where Af(j=0,…,k-1)F 0 are finite order entire functions. And we give precise estimates of the exponent of convergence of the zero-sequence of solutions for the above equation under some additional hypotheses.