Mathematica Slovaca | |
Non-oscillatory criteria for a class of second order non-linear forced neutral-delay differential equations | |
P. Mishra1  R. Rath1  N. Misra1  | |
关键词: neutral differential equation; oscillation; non-oscillation; | |
DOI : 10.2478/s12175-009-0140-5 | |
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, sufficient conditions are obtained, so that the second order neutral delay differential equation $$(r(t)(y(t) - p(t)y(t - au ))')' + q(t)G(y(h(t)) = f(t)$$ has a positive and bounded solution, where q, h, f ∈ C ([0, ∞), â„) such that q(t) ≥ 0, but ≢ 0, h(t) ≤ t, h(t) → ∞ as t → ∞, r ∈ C (1) ([0, ∞), (0, ∞)), p ∈ C (2) [0, ∞), â„), G ∈ C(â„, â„) and Ï„ ∈ â„+. In our work r(t) ≡ 1 is admissible and neither we assume G is non-decreasing, xG(x) > 0 for x ≠0, nor we take G is Lipschitzian. Hence the results of this paper improve many recent results.
【 授权许可】
Unknown
【 预 览 】
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