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Zbl 1085.34053
Lin, Xiaoyan
Oscillation of second-order nonlinear neutral differential equations.
(English)
[J] J. Math. Anal. Appl. 309, No. 2, 442-452 (2005). ISSN 0022-247X

The equation $$x(t)-p(t)x(t-\tau)''+q(t) f(x(t-\sigma))=0$$ has a bounded eventually positive solution or every solution is oscillatory under certain conditions when $f(x)$ is superlinear. For sublinear case, the equation has an eventually positive solution which tends to infinity or every solution is oscillatory.
[R. S. Dahiya (Ames)]
MSC 2000:
*34K11 Oscillation theory of functional-differential equations
34K40 Neutral equations
34K12 Properties of solutions of functional-differential equations

Keywords: Neutral differential equation; Second-order; Superlinear; Sublinear; Oscillation; Nonoscillation

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