Oscillation behavior of nth order neutral differential equations with continuous delay
نویسندگان
چکیده
منابع مشابه
Oscillation properties of nonlinear neutral differential equations of nth order
We consider the nonlinear neutral functional differential equation [r (t)[x(t) + b a p(t, µ)x(τ(t, µ))dµ] (n−1) ] + δ d c q(t, ξ)f (x(σ (t, ξ)))dξ = 0 with continuous arguments. We will develop oscillatory and asymptotic properties of the solutions. have studied the oscillation theory of second-order and higher-order neutral functional differential equations, in which the highest-order derivati...
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where n >, 2, a: [0, 00) + [0, a~), q: [0, co) --+ (-00, co), andf: (--co, 03) + (-00, CQ). We assume a(l), q(t), andf( x are continuous, q(t) < t for all t > 0, q(t) 3 co ) as t ---f co, and xf(x) > 0 for x # 0. Usually, a condition of monotonicity on f is needed in order to obtain results for Eq. (1) analogous to those of an ordinary differential equation of the same type. Many authors observ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2004
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2003.09.072