Oscillation criteria for some classes of linear delay different equations of first order
by Başak Karpuz   Özkan Öcalan  

Vol. 3 No. 2 (2008) P.293~P.314

ABSTRACT

In this article, we study delay differential equations having forms
$x'(t) + P(t)x(t-\tau) - Q(t)x(t-\tau) = 0$
$[x(t) - R(t)x(t-\rho)]' + P(t)x(t-\tau) = 0$
and
$[x(t)-R(t)x(t-\rho)]' + P(t)x(t-\tau) - Q(t)x(t-\sigma) = 0,$
where $P,Q,R \in C([t_0, \infty), \mathbb{R}^+)$ and $\tau, \sigma, \rho \ge 0$. We use recursive methods to obtain new oscillation criterions.

KEYWORDS
Delay, differential equation, neutral, oscillation

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 34K40, 34K99, 34C10

MILESTONES

Received: 2007-05-28
Revised : 2007-08-10
Accepted:

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