Asymptotic theory for third-order differential equations of Euler type (Q913077)
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scientific article; zbMATH DE number 4146467
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic theory for third-order differential equations of Euler type |
scientific article; zbMATH DE number 4146467 |
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Asymptotic theory for third-order differential equations of Euler type (English)
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1990
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The paper deals with the asymptotic form of three linearly independent solutions of the third-order differential equation \((q(qy')')'+py'+ry=0\) as \(x\to \infty\) where \(q\neq 0\) in some interval [a,\(\infty)\). The critical (Euler) case is identified in terms of some relation between q and r and analyzed separately.
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third-order differential equation
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