Geodesic
The asymptotic properties of the solutions of the $n$-th order neutral differential equations
Archivum mathematicum, Tome 39 (2003) no. 3, pp. 179-185
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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.
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.
Classification : 34K11, 34K12, 34K25, 34K40
Keywords: neutral differential equation; delayed argument; advanced argument 
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Lacková, Dáša. The asymptotic properties of the solutions of the $n$-th order neutral differential equations. Archivum mathematicum, Tome 39 (2003) no. 3, pp. 179-185. http://geodesic.mathdoc.fr/item/ARM_2003_39_3_a2/

[1] Kusano, T., Naito, M.: Comparison theorems for functional differential equations with deviating argument. J. Math. Soc. Japan 33 (1981), . | MR

[2] Kusano, T.: On even functional differential equations with advanced and retarded arguments. Differential Equations 45 (1985), 75–84. | MR

[3] Džurina, J., Mihalíková, B.: Oscillation criteria for second order neutral differential equations. Math. Bohem. 2 (2000), 145–153. | MR

[4] Džurina, J., Mihalíková, B.: Oscillations of advanced differential equations. Fasc. Math. 25 (1995), 95–103. | MR

[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 | Zbl

[6] Džurina, J., Mihalíková, B.: A note of unstable neutral differential equations of the second order. Fasc. Math. 29 (1999), 17–22. | MR