Oscillation results for second-order neutral differential equations of mixed type

Tongxing Li, Blanka Baculíková, Jozef Džurina

Abstract


Some oscillation theorems are established for the
second-order linear neutral differential equations of mixed type
$$
\left(r(t)[x(t)+p_1(t)x(t-\sigma_1)+p_2(t)x(t+\sigma_2)]'\right)'+q_1(t)x(t-\sigma_3)
+q_2(t)x(t+\sigma_4)=0.
$$
Several examples are also provided to illustrate the main results.

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DOI: https://doi.org/10.2478/tatra.v48i0.106