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Asymptotic and oscillation of the solutions for a class of the first order neutral differential equations

Authors:

Wang Peiguang

Institution:

Department of Mathematics, Hebei University, Baoding 071002, P. R. China

Abstract:

In this paper, the first order neutral differential equation with continuous distributed delay

$\frac{d}{{dt}}\left {x(t) - \sum\limits_{i = 1}^m {p_i (t)x} (t - \tau _i )} \right] + \int_a^b {f(t,\zeta ,xg(t,\zeta )])d\sigma (\zeta ) = 0}$

((1))

is concerned, and the asymptotic behavior of nonoscillatory solution and the oscillatory criteria are given for Equation (1). Foundation item: the Natural Science Foundation of Hebei Province (197091)

Keywords:

neutral differential equation asymptotic oscillation continuous distributed delay

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