On a High Order Differential Delay Equation
β Scribed by J.K. Hale; A.F. Ivanov
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 339 KB
- Volume
- 173
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
One considers a scalar 1st-order nonlinear differential equation with a delayed relay-output proportional feedback. One shows that, under a boundedness condition on the nonlinearity only, any solution of this equation has, after a finite time, a finite number of zeros on compact sets. An estimate of
The equation xΠ t q x t s bx t y 1 , where ΠΈ designates the greatest integer function, can be described in brief by two amazing properties. First, for certain values of the coefficients, some or all of its solutions are monotone although the corresponding homogeneous equation is clearly oscillatory.
## Abstract This paper deals with the delay differential equation We impose some growth conditions on __c__, under which we are able to give a precise description of the asymptotic properties of all solutions of this equation. Although we naturally have to distinguish the cases __c__ eventually po