On Asymptotic Properties of Continuously Differentiable Solutions of Quasilinear Functional Differential Equations期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On Asymptotic Properties of Continuously Differentiable Solutions of Quasilinear Functional Differential Equations

Authors:

D. V. Bel’skii

Affiliation:

(1) Institute of Mathematics, Ukrainian Academy of Sciences, Kiev, Ukraine

Abstract:

We establish new properties of C¹ [τ(1), + ∞)-solutions of the quasilinear functional differential equation

$dot x(t) = ax(t) + bx(tau (t)) + cdot x(tau (t)) + f(x(t)),x(tau (t))),quad mathop {lim }limits_{t to + infty } ;tau (t) = + infty ,$

in the neighborhood of the singular point t = +∞.__________Translated from Neliniini Kolyvannya, Vol. 8, No. 1, pp. 3–8, January–March, 2005.

Keywords:

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