Geodesic
On the oscillation of a third order nonlinear differential equations with neutral type
Ural mathematical journal, Tome 3 (2017) no. 2, pp. 122-129

Voir la notice de l'article provenant de la source Math-Net.Ru

In this article, we investigate the oscillation behavior of the solutions of the third-order nonlinear differential equation with neural type of the form $$ \Big(a_{1}(t)\big(a_{2}(t)Z^{\prime}(t)\big)^{\prime}\Big)^{\prime} + q(t) f\big(x(\sigma(t))\big) = 0, \quad t\geq t_0 > 0, $$ where $Z(t) := x(t)+p(t)x^{\alpha}(\tau(t))$. Some new oscillation results are presented that extend those results given in the literature.
Keywords: Non-linear, Neutral differential equation, Third order.
Mots-clés : Oscillation 
@article{UMJ_2017_3_2_a12,
     author = {V. Ganesan and M. Sathish Kumar},
     title = {On the oscillation of a third order nonlinear differential equations with neutral type},
     journal = {Ural mathematical journal},
     pages = {122--129},
     publisher = {mathdoc},
     volume = {3},
     number = {2},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UMJ_2017_3_2_a12/}
}
TY  - JOUR
AU  - V. Ganesan
AU  - M. Sathish Kumar
TI  - On the oscillation of a third order nonlinear differential equations with neutral type
JO  - Ural mathematical journal
PY  - 2017
SP  - 122
EP  - 129
VL  - 3
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UMJ_2017_3_2_a12/
LA  - en
ID  - UMJ_2017_3_2_a12
ER  - 
%0 Journal Article
%A V. Ganesan
%A M. Sathish Kumar
%T On the oscillation of a third order nonlinear differential equations with neutral type
%J Ural mathematical journal
%D 2017
%P 122-129
%V 3
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UMJ_2017_3_2_a12/
%G en
%F UMJ_2017_3_2_a12
V. Ganesan; M. Sathish Kumar. On the oscillation of a third order nonlinear differential equations with neutral type. Ural mathematical journal, Tome 3 (2017) no. 2, pp. 122-129. http://geodesic.mathdoc.fr/item/UMJ_2017_3_2_a12/