It is the purpose of this paper
to show that oscillation of the linear second order equation
![(r(t)x′)′ + p(t)x = 0](a110x.png) | (1) |
implies oscillation of the equation
![(r1(t)x′)′ + a(t)p1(t)ixj = 0](a111x.png) | (2) |
for a large class of positive functions a(t), where the following condition holds for all
large t:
![r(t) ≧ r1(t) > 0,p(t) ≦ p1(t).](a112x.png) | (H) |
We shall also assume that the functions r(t),r1(t),p(t),p1(t), and a(t) are continuous
on some half line [T,+∞).
|