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Oscillation theorems for neutral delay differential equations of odd order
by P. Das   B. B. Mishra   C. R. Dash  

Vol. 1 No. 4 (2006) P.557~P.568

ABSTRACT

Sucient conditions are established ensuring oscillation of all solutions of the $odd$-order neutral delay di erential equation
$(x(t) - px(t-\tau))^{(n)} + \sum^m_{i=1} p_i x(t-\sigma_i) = 0 $
where $p \in (-\infty, \infty), \ \sigma_i,\ p_i,\ \tau \in (0, \infty).$ The present result improves some recent results.


KEYWORDS
Neutral delay di erential equation, oscillation

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 34K15, 34C10

MILESTONES

Received: 2004-11-03
Revised : 2005-03-23
Accepted:


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