On Oscillation of Second-Order Nonlinear Neutral Functional Differential Equations
Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 3
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In this paper, some sufficient conditions are established for the oscillation of second-order neutral functional differential equation
where $\int_{t_0}^\infty \frac{{\rm d}t}{r(t)}=\infty,$ or $\int_{t_0}^\infty \frac{{\rm d}t}{r(t)}\infty,\ 0\leq p(t)\leq p_0\infty.$ The results obtained here complement and improve some known results in the literature.
| $\left[r(t)[x(t)+p(t)x(\tau(t))]'\right]'+q(t)f(x(\sigma(t)))=0, \quad t\geq t_0,$ |
Classification :
39A21, 34C10, 34K11
@article{BMMS_2013_36_3_a0,
author = {Shurong Sun and Tongxing Li and Zhenlai Han and Chao Zhang},
title = {On {Oscillation} of {Second-Order} {Nonlinear} {Neutral} {Functional} {Differential} {Equations}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2013},
volume = {36},
number = {3},
url = {http://geodesic.mathdoc.fr/item/BMMS_2013_36_3_a0/}
}
TY - JOUR AU - Shurong Sun AU - Tongxing Li AU - Zhenlai Han AU - Chao Zhang TI - On Oscillation of Second-Order Nonlinear Neutral Functional Differential Equations JO - Bulletin of the Malaysian Mathematical Society PY - 2013 VL - 36 IS - 3 UR - http://geodesic.mathdoc.fr/item/BMMS_2013_36_3_a0/ ID - BMMS_2013_36_3_a0 ER -
%0 Journal Article %A Shurong Sun %A Tongxing Li %A Zhenlai Han %A Chao Zhang %T On Oscillation of Second-Order Nonlinear Neutral Functional Differential Equations %J Bulletin of the Malaysian Mathematical Society %D 2013 %V 36 %N 3 %U http://geodesic.mathdoc.fr/item/BMMS_2013_36_3_a0/ %F BMMS_2013_36_3_a0
Shurong Sun; Tongxing Li; Zhenlai Han; Chao Zhang. On Oscillation of Second-Order Nonlinear Neutral Functional Differential Equations. Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 3. http://geodesic.mathdoc.fr/item/BMMS_2013_36_3_a0/