Oscillations and asymptotic stability of solutions of first order neutral differential equations with piecewise constant argument (Q916863)
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scientific article; zbMATH DE number 4154938
| Language | Label | Description | Also known as |
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| English | Oscillations and asymptotic stability of solutions of first order neutral differential equations with piecewise constant argument |
scientific article; zbMATH DE number 4154938 |
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Oscillations and asymptotic stability of solutions of first order neutral differential equations with piecewise constant argument (English)
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1990
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The author considers the first order neutral differential equation \[ d/dt(y(t)+py(t+))=qy([t+]), \] where [\(\cdot]\) denotes the greatest integer function. Because of the piecewise constant argument at the right-hand-side, the equation is alternately of delayed and advanced type. The author gives some results about both the oscillatory behavior of solutions and the asymptotic stability of the zero solution.
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first order neutral differential equation
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asymptotic stability of the zero solution
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