Oscillation Criteria for Nonlinear Differential Equations of Second Order with Damping Term

Elabbasy, E. M., and Elhaddad, W. W.. "Oscillation Criteria for Nonlinear Differential Equations of Second Order with Damping Term." Serdica Mathematical Journal 34.2 (2008): 395-414. <http://eudml.org/doc/281511>.

@article{Elabbasy2008,
abstract = {2000 Mathematics Subject Classification: 34C10, 34C15.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.},
author = {Elabbasy, E. M., Elhaddad, W. W.},
journal = {Serdica Mathematical Journal},
keywords = {Oscillation; Second Order Nonlinear Differential Equation; oscillation criteria; second-order nonlinear differential equation; damping term; oscillatory solution},
language = {eng},
number = {2},
pages = {395-414},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Oscillation Criteria for Nonlinear Differential Equations of Second Order with Damping Term},
url = {http://eudml.org/doc/281511},
volume = {34},
year = {2008},
}

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
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 34
IS - 2
SP - 395
EP - 414
AB - 2000 Mathematics Subject Classification: 34C10, 34C15.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.
LA - eng
KW - Oscillation; Second Order Nonlinear Differential Equation; oscillation criteria; second-order nonlinear differential equation; damping term; oscillatory solution
UR - http://eudml.org/doc/281511
ER -