On oscillation of solutions of forced nonlinear neutral differential equations of higher order II
N. Parhi ; R. N. Rath
Annales Polonici Mathematici, Tome 81 (2003), p. 101-110 / Harvested from The Polish Digital Mathematics Library
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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 → ∞.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:280532 
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N. Parhi; R. N. Rath. On oscillation of solutions of forced nonlinear neutral differential equations of higher order II. Annales Polonici Mathematici, Tome 81 (2003) pp. 101-110. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap81-2-1/