期刊论文详细信息
Mathematica Slovaca | |
Oscillatory and asymptotic behaviour of a nonlinear second order neutral differential equation | |
R. Rath1  N. Misra1  L. Padhy1  | |
关键词: neutral differential equation; oscillation; non-oscillation; | |
DOI : 10.2478/s12175-007-0006-7 | |
学科分类:数学(综合) | |
来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute | |
【 摘 要 】
In this paper, necessary and sufficient conditions for the oscillation and asymptotic behaviour of solutions of the second order neutral delay differential equation (NDDE) $$left[ {r(t)(y(t) - p(t)y(t - au ))'} ight]^prime + q(t)G(y(h(t))) = 0$$ are obtained, where q, h ∈ C([0, ∞), â„) such that q(t) ≥ 0, r ∈ C (1) ([0, ∞), (0, ∞)), p ∈ C ([0, ∞), â„), G ∈ C (â„, â„) and Ï„ ∈ â„+. Since the results of this paper hold when r(t) ≡ 1 and G(u) ≡ u, therefore it extends, generalizes and improves some known results.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912080690635ZK.pdf | 213KB | download |