On oscillation of solutions of forced nonlinear neutral differential equations of higher order II

N. Parhi, and R. N. Rath. "On oscillation of solutions of forced nonlinear neutral differential equations of higher order II." Annales Polonici Mathematici 81.2 (2003): 101-110. <http://eudml.org/doc/280532>.

@article{N2003,
abstract = {Sufficient conditions are obtained so that every solution of $[y(t) - p(t)y(t-τ)]^\{(n)\} + Q(t)G(y(t-σ)) = f(t)$ where n ≥ 2, p,f ∈ C([0,∞),ℝ), Q ∈ C([0,∞),[0,∞)), G ∈ C(ℝ,ℝ), τ > 0 and σ ≥ 0, oscillates or tends to zero as $t→ ∞ $. Various ranges of p(t) are considered. In order to accommodate sublinear cases, it is assumed that $∫_0^\{∞\} Q(t)dt = ∞$. Through examples it is shown that if the condition on Q is weakened, then there are sublinear equations whose solutions tend to ±∞ as t → ∞.},
author = {N. Parhi, R. N. Rath},
journal = {Annales Polonici Mathematici},
keywords = {neutral equations; oscillation theory; nonlinear oscillations},
language = {eng},
number = {2},
pages = {101-110},
title = {On oscillation of solutions of forced nonlinear neutral differential equations of higher order II},
url = {http://eudml.org/doc/280532},
volume = {81},
year = {2003},
}

TY - JOUR
AU - N. Parhi
AU - R. N. Rath
TI - On oscillation of solutions of forced nonlinear neutral differential equations of higher order II
JO - Annales Polonici Mathematici
PY - 2003
VL - 81
IS - 2
SP - 101
EP - 110
AB - Sufficient conditions are obtained so that every solution of $[y(t) - p(t)y(t-τ)]^{(n)} + Q(t)G(y(t-σ)) = f(t)$ where n ≥ 2, p,f ∈ C([0,∞),ℝ), Q ∈ C([0,∞),[0,∞)), G ∈ C(ℝ,ℝ), τ > 0 and σ ≥ 0, oscillates or tends to zero as $t→ ∞ $. Various ranges of p(t) are considered. In order to accommodate sublinear cases, it is assumed that $∫_0^{∞} Q(t)dt = ∞$. Through examples it is shown that if the condition on Q is weakened, then there are sublinear equations whose solutions tend to ±∞ as t → ∞.
LA - eng
KW - neutral equations; oscillation theory; nonlinear oscillations
UR - http://eudml.org/doc/280532
ER -