Geodesic
Necessary and sufficient conditions for oscillation of neutral delay differential equations
Electronic journal of differential equations, Tome 2014 (2014)
In this article, we concerned with oscillation of the neutral delay differential equation $[x(t)-px(t-\tau)]'+qx(t-\sigma)=0$ with constant coefficients. By constructing several suitable auxiliary functions, we obtained some necessary and sufficient conditions for oscillation of all the solutions of the aforementioned equation for the cases 01 and p>1.
Classification : 34K06, 34K11, 34K40
Keywords: neutral delay differential equation, oscillation, characteristic equation 
@article{EJDE_2014__2014__a192,
     author = {Guo,  Songbai and Ma,  Wanbiao and Pradeep,  B.G.Sampath Aruna},
     title = {Necessary and sufficient conditions for oscillation of neutral delay differential equations},
     journal = {Electronic journal of differential equations},
     year = {2014},
     volume = {2014},
     zbl = {1304.34115},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a192/}
}
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%A Pradeep,  B.G.Sampath Aruna
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%J Electronic journal of differential equations
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%F EJDE_2014__2014__a192
Guo,  Songbai; Ma,  Wanbiao; Pradeep,  B.G.Sampath Aruna. Necessary and sufficient conditions for oscillation of neutral delay differential equations. Electronic journal of differential equations, Tome 2014 (2014). http://geodesic.mathdoc.fr/item/EJDE_2014__2014__a192/