Some oscillation criteria for delay differential equations of even order
نویسندگان
چکیده
منابع مشابه
Oscillation criteria for even-order neutral differential equations
Our aim in this paper is to present sufficient conditions for the oscillation of the second order neutral differential equation ( x(t)− px(t− τ ))′′ + q(t)x(σ(t)) = 0.
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for their oscillatory and nonoscillatory nature. In Eqs. (1) and (2) y("(x) = (d%/dx')y{x), i = 1, 2, • • • , 2n; yr(x) = y(x — t(x))] dy/dx and d2y/dx2 will also be denoted by y' and y" respectively. Throughout this paper it will be assumed that p(x), j(x), t{x) are continuous real-valued functions on the real line (—°°, °°); j(x), p(x) and t(x), in addition, are nonnegative, r(x) is bounded a...
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By using Riccati transformation technique, we will establish some new oscillation criteria for the even order neutral delay differential equations z t n q t f x σ t 0, t ≥ t0, where n is even, z t x t p t x τ t , 0 ≤ p t ≤ p0 < ∞, and q t ≥ 0. These oscillation criteria, at least in some sense, complement and improve those of Zafer 1998 and Zhang et al. 2010 . An example is considered to illust...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1986
ISSN: 0022-247X
DOI: 10.1016/0022-247x(86)90150-2