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Keywords:
neutral differential equation; delayed argument; advanced argument
neutral differential equation; delayed argument; advanced argument
Summary:
The aim of this paper is to deduce oscillatory and asymptotic behavior of the solutions of the $n-$th order neutral differential equation \[ (x(t)-px(t-\tau ))^{(n)}-q(t)x(\sigma (t))=0\,, \] where $\sigma (t)$ is a delayed or advanced argument.
References:
[1] Kusano, T., Naito, M.: Comparison theorems for functional differential equations with deviating argument. J. Math. Soc. Japan 33 (1981), . MR 0620288
[2] Kusano, T.: On even functional differential equations with advanced and retarded arguments. Differential Equations 45 (1985), 75–84. MR 0662487
[3] Džurina, J., Mihalíková, B.: Oscillation criteria for second order neutral differential equations. Math. Bohem. 2 (2000), 145–153. MR 1768803
[4] Džurina, J., Mihalíková, B.: Oscillations of advanced differential equations. Fasc. Math. 25 (1995), 95–103. MR 1339630
[5] Kiguradze, I. T.: On the oscillation of solutions of the equation $d^{m}u/dt^{m}+a(t)|u|^{n}sign\,u=0$. Mat. Sb 65 (1964). (Russian) MR 0173060 | Zbl 0135.14302
[6] Džurina, J., Mihalíková, B.: A note of unstable neutral differential equations of the second order. Fasc. Math. 29 (1999), 17–22. MR 1724462
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