Geodesic
Oscillation of Second-Order Nonlinear Impulsive Dynamic Equations with Damping Term on Time Scales
Heba M. Atteya1 ; Ahmed M. M. Khodier1 ; H. A. Agwa1 ; Heba M. Atteya ; Ahmed M. M. Khodier ; H. A. Agwa
1Department of Mathematics, Faculty of Education, Ain Shams University, Roxy, Cairo, Egypt
Acta mathematica Universitatis Comenianae, Tome 88 (2019) no. 1, pp. 23-38 
Heba M. Atteya; Ahmed M. M. Khodier; H. A. Agwa; Heba M. Atteya; Ahmed M. M. Khodier; H. A. Agwa. Oscillation of Second-Order Nonlinear Impulsive Dynamic Equations with Damping Term on Time Scales. Acta mathematica Universitatis Comenianae, Tome 88 (2019) no. 1, pp. 23-38. http://geodesic.mathdoc.fr/item/AMUC_2019_88_1_a2/
@article{AMUC_2019_88_1_a2,
     author = {Heba M. Atteya and Ahmed M. M. Khodier and H. A. Agwa and Heba M. Atteya and Ahmed M. M. Khodier and H. A. Agwa},
     title = { Oscillation of {Second-Order} {Nonlinear} {Impulsive} {Dynamic} {Equations} with {Damping} {Term} on {Time} {Scales}},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {23--38},
     year = {2019},
     volume = {88},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2019_88_1_a2/}
}
TY  - JOUR
AU  - Heba M. Atteya
AU  - Ahmed M. M. Khodier
AU  - H. A. Agwa
AU  - Heba M. Atteya
AU  - Ahmed M. M. Khodier
AU  - H. A. Agwa
TI  - Oscillation of Second-Order Nonlinear Impulsive Dynamic Equations with Damping Term on Time Scales
JO  - Acta mathematica Universitatis Comenianae
PY  - 2019
SP  - 23
EP  - 38
VL  - 88
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/AMUC_2019_88_1_a2/
ID  - AMUC_2019_88_1_a2
ER  - 
%0 Journal Article
%A Heba M. Atteya
%A Ahmed M. M. Khodier
%A H. A. Agwa
%A Heba M. Atteya
%A Ahmed M. M. Khodier
%A H. A. Agwa
%T Oscillation of Second-Order Nonlinear Impulsive Dynamic Equations with Damping Term on Time Scales
%J Acta mathematica Universitatis Comenianae
%D 2019
%P 23-38
%V 88
%N 1
%U http://geodesic.mathdoc.fr/item/AMUC_2019_88_1_a2/
%F AMUC_2019_88_1_a2

Voir la notice de l'article provenant de la source Comenius University

In this paper, we use Riccati transformation technique and the impulsive inequality to establish some new oscillation criteria for the second-order nonlinear impulsive dynamic equation with damping term equation on a time scale T. Our results generalize and extend some pervious results [12, 14, 15, 16, 17] and can be applied to some oscillation problems that not discussed before. Finally, we give some examples to illustrate our main results.