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.