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A Necessary and Sufficient Condition for the Oscillation of an Even Order Nonlinear Delay Differential Equation

Published online by Cambridge University Press:  20 November 2018

Bhagat Singh
Bhagat Singh*
Affiliation:
University of Wisconsin Center — Manitowoc, Manitowoc, Wisconsin
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In this paper we study the oscillatory behavior of the even order nonlinear delay differential equation

(1)

where

(i) denotes the order of differentiation with respect to t. The delay terms τi σi are assumed to be real-valued, continuous, non-negative, non-decreasing and bounded by a common constant M on the half line (t0, + ∞ ) for some t0 ≧ 0.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 25 , Issue 5 , October 1973 , pp. 1078 - 1089
Copyright
Copyright © Canadian Mathematical Society 1973

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