Analytic solutions of a functional differential equation with a state derivative dependent delay (Q1291179)
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scientific article; zbMATH DE number 1295531
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analytic solutions of a functional differential equation with a state derivative dependent delay |
scientific article; zbMATH DE number 1295531 |
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Analytic solutions of a functional differential equation with a state derivative dependent delay (English)
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22 April 2001
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The authors consider analytic solutions to the state dependent functional-differential equation of the form \[ \alpha z+\beta x''(z)=x(az+bx''(z)), \] where \(\alpha\), \(\beta\), \(a\), \(b\) are complex numbers. Existence theorems are established and the ways to deriving explicite solutions in different cases are shown.
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functional-differential equations
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state derivative dependent delay
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analytic solutions
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