On the generalized Thomas-Fermi differential equations and applicability of Saito's transformation (Q1365395)
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scientific article; zbMATH DE number 1054595
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the generalized Thomas-Fermi differential equations and applicability of Saito's transformation |
scientific article; zbMATH DE number 1054595 |
Statements
On the generalized Thomas-Fermi differential equations and applicability of Saito's transformation (English)
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25 February 1998
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Sufficient conditions on the function \(P(t)\) are determined for the differential equation \(x''= P(t)x^{1+a}\), \(a\) a nonzero real constant, to be transformable into a first-order algebraic differential equation. Such a transformation is used in the study of asymptotic properties of solutions.
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Thomas-Fermi equation
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Saito's transformation
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