Determining the existence of positive real roots in linear delay differential equation using discontinuous real polynomials (Q2914804)
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scientific article; zbMATH DE number 6084635
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Determining the existence of positive real roots in linear delay differential equation using discontinuous real polynomials |
scientific article; zbMATH DE number 6084635 |
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21 September 2012
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Laplace transform
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delay differential equation
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continuous dependence theorems
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Determining the existence of positive real roots in linear delay differential equation using discontinuous real polynomials (English)
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The authors obtain the exact solution for delay differential equations with continuous dependence on the initial conditions by an analytic approach. Also, they develop general necessary and sufficient conditions, which depend only on the parameters of the system, for the existence of a delay-induced instability in systems of two or three first-order delay differential equations.
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0.7245908975601196
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0.7240146398544312
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0.7212572693824768
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