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

Elabbasy, E. M.; Elhaddad, W. W.

Serdica Mathematical Journal (2008)

- Volume: 34, Issue: 2, page 395-414
- ISSN: 1310-6600

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topElabbasy, 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 -

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