The deficiency indices of a system of first-order differential equations (Q1972651)
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scientific article; zbMATH DE number 1431682
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The deficiency indices of a system of first-order differential equations |
scientific article; zbMATH DE number 1431682 |
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The deficiency indices of a system of first-order differential equations (English)
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13 April 2000
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The theorem by B. M. Levitan on the deficiency indices of Dirac-type systems is extended to systems of the form \[ \frac{dw}{dx} = i z J H (x) w, \qquad 0 \leq x \leq \infty. \] Here, \(H(x)\geq 0\) is a locally summable matrix-valued function of order \(2m \times 2m\), \[ J=\begin{pmatrix} 0 & E_m \\ E_m & 0 \end{pmatrix}. \]
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Dirac-type system
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