Geodesic
Comparison theorems for second-order neutral differential equations of mixed type
Electronic journal of differential equations, Tome 2010 (2010)
Three comparison theorems are established for the oscillation of the second-order neutral differential equations of mixed type

$ \big(r(t)[x(t)+p_1(t)x(t-\sigma_1)+p_2(t)x(t+\sigma_2)]'\big)' +q_1(t)x(t-\sigma_3) +q_2(t)x(t+\sigma_4)=0. $

Our results are new even when $p_2(t)=q_2(t)=0$. An example is provided to illustrate the main results.
Classification : 34K11
Keywords: oscillation, neutral functional differential equations, mixed type, second-order, comparison theorem 
@article{EJDE_2010__2010__a96,
     author = {Li,  Tongxing},
     title = {Comparison theorems for second-order neutral differential equations of mixed type},
     journal = {Electronic journal of differential equations},
     year = {2010},
     volume = {2010},
     zbl = {1208.34110},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a96/}
}
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Li,  Tongxing. Comparison theorems for second-order neutral differential equations of mixed type. Electronic journal of differential equations, Tome 2010 (2010). http://geodesic.mathdoc.fr/item/EJDE_2010__2010__a96/