Asymptotic behaviour of solutions to n-order functional differential equations
Texas State University-San Marcos, Department of Mathematics
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 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.
Oscillatory solution, Nonoscillatory solution, Property A
Padhi, S. (2005). Asymptotic behaviour of solutions to $n$-order functional differential equations. <i>Electronic Journal of Differential Equations, 2005</i>(65), pp. 1-14.