# Oscillation of nonlinear neutral delay differential equations of second order

Ireneusz Kubiaczyk; Samir H. Saker

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2002)

- Volume: 22, Issue: 2, page 185-212
- ISSN: 1509-9407

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topIreneusz Kubiaczyk, and Samir H. Saker. "Oscillation of nonlinear neutral delay differential equations of second order." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 22.2 (2002): 185-212. <http://eudml.org/doc/271452>.

@article{IreneuszKubiaczyk2002,

abstract = {Oscillation criteria, extended Kamenev and Philos-type oscillation theorems for the nonlinear second order neutral delay differential equation with and without the forced term are given. These results extend and improve the well known results of Grammatikopoulos et. al., Graef et. al., Tanaka for the nonlinear neutral case and the recent results of Dzurina and Mihalikova for the neutral linear case. Some examples are considered to illustrate our main results.},

author = {Ireneusz Kubiaczyk, Samir H. Saker},

journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},

keywords = {oscillation theorems; second order nonlinear neutral delay differential equations; neutral equation; oscillation},

language = {eng},

number = {2},

pages = {185-212},

title = {Oscillation of nonlinear neutral delay differential equations of second order},

url = {http://eudml.org/doc/271452},

volume = {22},

year = {2002},

}

TY - JOUR

AU - Ireneusz Kubiaczyk

AU - Samir H. Saker

TI - Oscillation of nonlinear neutral delay differential equations of second order

JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization

PY - 2002

VL - 22

IS - 2

SP - 185

EP - 212

AB - Oscillation criteria, extended Kamenev and Philos-type oscillation theorems for the nonlinear second order neutral delay differential equation with and without the forced term are given. These results extend and improve the well known results of Grammatikopoulos et. al., Graef et. al., Tanaka for the nonlinear neutral case and the recent results of Dzurina and Mihalikova for the neutral linear case. Some examples are considered to illustrate our main results.

LA - eng

KW - oscillation theorems; second order nonlinear neutral delay differential equations; neutral equation; oscillation

UR - http://eudml.org/doc/271452

ER -

## References

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