Geodesic
Differential equations with several deviating arguments: Sturmian comparison method in oscillation theory. II
Electronic journal of differential equations, Tome 2002 (2002)
We study the oscillation of solutions to the differential equation

$ \dot{x}(t) +a_1(t)x[r(t)]+a_2(t)x[p(t)]=0, \quad t\geq t_0 $

which has a retarded argument $r(t)$ and an advanced argument $p(t)$. We obtain oscillation and non-oscillation conditions which are closed to be necessary. We provide examples to show that our results are best possible and compare them with known results.
Classification : 34K11
Keywords: mixed differential equations, oscillation, non-oscillation, Sturmian comparison method 
@article{EJDE_2002__2002__a279,
     author = {Berezansky,  Leonid and Domshlak,  Yury},
     title = {Differential equations with several deviating arguments: {Sturmian} comparison method in oscillation theory. {II}},
     journal = {Electronic journal of differential equations},
     year = {2002},
     volume = {2002},
     zbl = {1016.34066},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a279/}
}
TY  - JOUR
AU  - Berezansky,  Leonid
AU  - Domshlak,  Yury
TI  - Differential equations with several deviating arguments: Sturmian comparison method in oscillation theory. II
JO  - Electronic journal of differential equations
PY  - 2002
VL  - 2002
UR  - http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a279/
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ID  - EJDE_2002__2002__a279
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%A Berezansky,  Leonid
%A Domshlak,  Yury
%T Differential equations with several deviating arguments: Sturmian comparison method in oscillation theory. II
%J Electronic journal of differential equations
%D 2002
%V 2002
%U http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a279/
%G en
%F EJDE_2002__2002__a279
Berezansky,  Leonid; Domshlak,  Yury. Differential equations with several deviating arguments: Sturmian comparison method in oscillation theory. II. Electronic journal of differential equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a279/