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An Equation Alternately of Retarded and Advanced Type

Kenneth L. Cooke and Joseph Wiener
Proceedings of the American Mathematical Society
Vol. 99, No. 4 (Apr., 1987), pp. 726-732
DOI: 10.2307/2046483
Stable URL: http://www.jstor.org/stable/2046483
Page Count: 7
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
An Equation Alternately of Retarded and Advanced Type
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Abstract

We study a differential equation with the argument 2[ (t + 1)/2 ], where [ · ] denotes the greatest-integer function. The argument deviation τ(t) = t - 2[ (t + 1)/2 ] is a function of period 2 and equals t for $-1 \leqslant t < 1$. It changes its sign in each interval $2n - 1 \leqslant t < 2n + 1$.

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