Simplicity of solutions of \(x'(t)=bx(t-1)\) (Q804801)
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scientific article; zbMATH DE number 4202782
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Simplicity of solutions of \(x'(t)=bx(t-1)\) |
scientific article; zbMATH DE number 4202782 |
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Simplicity of solutions of \(x'(t)=bx(t-1)\) (English)
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1991
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By a detailed analysis of the characteristic equation associated with the delay-equation in the title, and by using the general formula (obtained by Laplace transform) for the solution corresponding to a constant initial function, it is shown that such solution is well approximated by a linear combination of one or two exponentials; estimates of the error are obtained, showing in some cases its smallness even for modest values of t.
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delay-differential equations
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approximation of solutions
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Laplace transform
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