Oscillation Criteria for Nonlinear Differential Equations of Second Order with Damping Term
Serdica Mathematical Journal, Tome 34 (2008) no. 2, pp. 395-414
Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library
Some new criteria for the oscillation of all solutions of second order differential equations of the form
(d/dt)(r(t)ψ(x)|dx/dt|α−2(dx/dt))+ p(t)φ(|x|α−2x,r(t) ψ(x)|dx/dt|α−2(dx/dt))+q(t)|x|α−2 x=0,
and the more general equation (d/dt)(r(t)ψ(x)|dx/dt|α−2(dx/dt))+p(t)φ(g(x),r(t) ψ(x)|dx/dt|α−2 (dx/dt))+q(t)g(x)=0,
are established. our results generalize and extend some known oscillation criterain in the literature.
Keywords:
Oscillation, Second Order Nonlinear Differential Equation
@article{SMJ2_2008_34_2_a2,
author = {Elabbasy, E. M. and Elhaddad, W. W.},
title = {Oscillation {Criteria} for {Nonlinear} {Differential} {Equations} of {Second} {Order} with {Damping} {Term}},
journal = {Serdica Mathematical Journal},
pages = {395--414},
publisher = {mathdoc},
volume = {34},
number = {2},
year = {2008},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SMJ2_2008_34_2_a2/}
}
TY - JOUR AU - Elabbasy, E. M. AU - Elhaddad, W. W. TI - Oscillation Criteria for Nonlinear Differential Equations of Second Order with Damping Term JO - Serdica Mathematical Journal PY - 2008 SP - 395 EP - 414 VL - 34 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SMJ2_2008_34_2_a2/ LA - en ID - SMJ2_2008_34_2_a2 ER -
%0 Journal Article %A Elabbasy, E. M. %A Elhaddad, W. W. %T Oscillation Criteria for Nonlinear Differential Equations of Second Order with Damping Term %J Serdica Mathematical Journal %D 2008 %P 395-414 %V 34 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/SMJ2_2008_34_2_a2/ %G en %F SMJ2_2008_34_2_a2
Elabbasy, E. M.; Elhaddad, W. W. Oscillation Criteria for Nonlinear Differential Equations of Second Order with Damping Term. Serdica Mathematical Journal, Tome 34 (2008) no. 2, pp. 395-414. http://geodesic.mathdoc.fr/item/SMJ2_2008_34_2_a2/