학술논문

Existence of positive solutions for a class of higher order neutral functional differential equations
Document Type
Text
Source
Czechoslovak Mathematical Journal | 2001 Volume:51 | Number:3
Subject
573-583
Language
English
Abstract
The higher order neutral functional differential equation \[ \frac{\mathrm{d}^n}{\mathrm{d}t^n} \bigl [x(t) + h(t) x(\tau (t))\bigr ] + \sigma f\bigl (t,x(g(t))\bigr ) = 0 \qquad \mathrm{(1)}\] is considered under the following conditions: $n\ge 2$, $\sigma =\pm 1$, $\tau (t)$ is strictly increasing in $t\in [t_0,\infty )$, $\tau (t)