Abstract
Hain-Lust equations appear in magnetohydrodynamics. They are Sturm-Liouville equations with coefficients depending rationally on the eigenvalue parameter. In this paper such equations are connected with a 2 x 2 system of differential equations, where the dependence on the eigenvalue parameter is linear. By means of this connection Weyl's fundamental limit-point/limit-circle classification is extended to a general setting of Hain-Lust-type equations.
| Original language | English |
|---|---|
| Pages (from-to) | 652-668 |
| Number of pages | 17 |
| Journal | Mathematische Nachrichten |
| Volume | 291 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Mar-2018 |
Keywords
- Hain-Lust equation
- mixed-order differential system
- Sturm-Liouville problem
- Weyl's limit-point
- limit-circle classification
- ORDINARY DIFFERENTIAL-OPERATORS
- TITCHMARSH-WEYL COEFFICIENTS
- STURM-LIOUVILLE PROBLEMS
- S-HERMITIAN SYSTEMS
- ESSENTIAL SPECTRUM
- MIXED ORDER
- EIGENVALUE PARAMETER
- HAMILTONIAN-SYSTEMS
- CANONICAL SYSTEMS
- SELF-ADJOINTNESS