Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 65, pp. 1-14.
Title: Asymptotic behaviour of solutions to $n$-order functional
differential equations
Author: Seshadev Padhi (Birla Institute of Technology, India)
Abstract:
We establish conditions for the linear differential equation
$$
y^{(n)}(t)+p(t)y(g(t))=0
$$
to have property A. Explicit sufficient conditions for the
oscillation of the the equation is obtained while dealing with the
property A of the equations. A comparison theorem is obtained for
the oscillation of the equation with the oscillation of a third
order ordinary differential equation.
Submitted September 4, 2004. Published June 23, 2005.
Math Subject Classifications: 34C10, 34K15.
Key Words: Oscillatory solution; nonoscillatory solution; property A.