Geodesic
Asymptotic behaviour of solutions to \(n\) -order functional differential equations
Electronic journal of differential equations, Tome 2005 (2005)
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.
Classification : 34C10, 34K15
Keywords: oscillatory solution, nonoscillatory solution, property A 
@article{EJDE_2005__2005__a237,
     author = {Padhi,  Seshadev},
     title = {Asymptotic behaviour of solutions to \(n\) -order functional differential equations},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1075.34079},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a237/}
}
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JO  - Electronic journal of differential equations
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%A Padhi,  Seshadev
%T Asymptotic behaviour of solutions to \(n\) -order functional differential equations
%J Electronic journal of differential equations
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%F EJDE_2005__2005__a237
Padhi,  Seshadev. Asymptotic behaviour of solutions to \(n\) -order functional differential equations. Electronic journal of differential equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a237/