Oscillation of Nonlinear Neutral Delay Differential Equations

Elabbasy, E. M., and Hassan, T. S.. "Oscillation of Nonlinear Neutral Delay Differential Equations." Serdica Mathematical Journal 34.3 (2008): 531-542. <http://eudml.org/doc/281362>.

@article{Elabbasy2008,
abstract = {2000 Mathematics Subject Classification: 34K15, 34C10.In this paper, we study the oscillatory behavior of first order nonlinear neutral delay differential equation (x(t) − q(t) x(t − σ(t))) ′ +f(t,x( t − τ(t))) = 0, where σ, τ ∈ C([t0,∞),(0,∞)), q О C([t0,∞), [0,∞)) and f ∈ C([t0,∞) ×R,R). The obtained results extended and improve several of the well known previously results in the literature. Our results are illustrated with an example.},
author = {Elabbasy, E. M., Hassan, T. S.},
journal = {Serdica Mathematical Journal},
keywords = {Oscillation; Neutral Delay; Differential Equations; oscillation criteria; first-order nonlinear neutral delay differential equation},
language = {eng},
number = {3},
pages = {531-542},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Oscillation of Nonlinear Neutral Delay Differential Equations},
url = {http://eudml.org/doc/281362},
volume = {34},
year = {2008},
}

TY - JOUR
AU - Elabbasy, E. M.
AU - Hassan, T. S.
TI - Oscillation of Nonlinear Neutral Delay Differential Equations
JO - Serdica Mathematical Journal
PY - 2008
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 34
IS - 3
SP - 531
EP - 542
AB - 2000 Mathematics Subject Classification: 34K15, 34C10.In this paper, we study the oscillatory behavior of first order nonlinear neutral delay differential equation (x(t) − q(t) x(t − σ(t))) ′ +f(t,x( t − τ(t))) = 0, where σ, τ ∈ C([t0,∞),(0,∞)), q О C([t0,∞), [0,∞)) and f ∈ C([t0,∞) ×R,R). The obtained results extended and improve several of the well known previously results in the literature. Our results are illustrated with an example.
LA - eng
KW - Oscillation; Neutral Delay; Differential Equations; oscillation criteria; first-order nonlinear neutral delay differential equation
UR - http://eudml.org/doc/281362
ER -