Oscillation Criteria for Nonlinear Differential Equations of Second Order with Damping Term
Serdica Mathematical Journal, Tome 34 (2008) no. 2, pp. 395-414
Cet article a éte moissonné depuis 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},
year = {2008},
volume = {34},
number = {2},
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 UR - http://geodesic.mathdoc.fr/item/SMJ2_2008_34_2_a2/ LA - en ID - SMJ2_2008_34_2_a2 ER -
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/