Constructive solution of coupled second order delay differential equations with variable coefficients (Q1902918)
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scientific article; zbMATH DE number 823348
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Constructive solution of coupled second order delay differential equations with variable coefficients |
scientific article; zbMATH DE number 823348 |
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Constructive solution of coupled second order delay differential equations with variable coefficients (English)
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5 December 1995
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Summary: We study initial value problems for coupled order delay differential equations with variable coefficients. By means of the application of the method of steps and the method of Frobenius, the exact solution of the problem is constructed. Then, in a bounded domain, a finite analytic solution with error bounds is provided. Given an admissible error \(\varepsilon\), we give the number of terms to be taken in the infinite series exact solution so that the approximation error be smaller than \(\varepsilon\) in the bounded domain.
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initial value problems
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coupled order delay differential equations
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method of steps
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method of Frobenius
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finite analytic solution
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error bounds
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infinite series exact solution
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