Asymptotic theory for a general third-order differential equation of Euler type (Q1806228)
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scientific article; zbMATH DE number 1356446
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic theory for a general third-order differential equation of Euler type |
scientific article; zbMATH DE number 1356446 |
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Asymptotic theory for a general third-order differential equation of Euler type (English)
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19 March 2000
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The asymptotic form of three linearly independent solutions to the third-order differential equation \[ \{q(x)(q(x)y'(x))'\}' + \{(q_1(x)y(x))' + q_1(x)y'(x)\} / 2 + (p_0(x)y'(x))' + p_1(x)y(x) = 0 \] is investigated for \(x \to \infty\). Relations between the coefficient functions and an Euler case are found. The asymptotics are studied in this case.
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asymptotic theory
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third-order differential equation
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Euler type
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