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2008 / June Volume 3 No.2
Oscillation criteria for some classes of linear delay different equations of first order
Published Date
2008 / June
Title
Oscillation criteria for some classes of linear delay different equations of first order
Author
Başak Karpuz, Özkan Öcalan
Keyword
Delay, differential equation, neutral, oscillation, Delay, differential equation, neutral, oscillation
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Pagination
293-314
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.
AMS Subject
Classification
34K40, 34K99, 34C10
Received
2007-08-10
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