Elena Braverman, Sergey Zhukovskiy
Abstract:
For the equation with a distributed delay
we obtain necessary and sufficient conditions of stability,
exponential stability and oscillation.
These results are applied to some particular cases, such as
integro-differential equations and equations with a piecewise
constant argument. Well known results for equations with a
piecewise constant argument are obtained as special cases.
Submitted April 26, 2008. Published August 15, 2008.
Math Subject Classifications: 34K20, 34K11, 34K06, 39A11.
Key Words: Piecewise constant arguments; distributed delay;
difference equations; oscillation; stability;
exponential stability; integro-differential equations.
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Elena Braverman Department of Mathematics and Statistics, University of Calgary 2500 University Drive N.W., Calgary, AB, Canada T2N 1N4 email: maelena@math.ucalgary.ca Fax (403)-282-5150 Phone (403)-220-3956 | |
Sergey Zhukovskiy Department of Mathematics and Statistics, University of Calgary 2500 University Drive N.W., Calgary, AB, Canada T2N 1N4 email:sergey@math.ucalgary.ca, s-e-zhuk@yandex.ru |
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