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Limit†point/limit†circle classification for Hain–Lüst type equations

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  • Seppo Hassi
  • Manfred Möller
  • Henk de Snoo

Abstract

Hain–Lüst 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 × 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–Lüst†type equations.

Suggested Citation

  • Seppo Hassi & Manfred Möller & Henk de Snoo, 2018. "Limit†point/limit†circle classification for Hain–Lüst type equations," Mathematische Nachrichten, Wiley Blackwell, vol. 291(4), pages 652-668, March.
  • Handle: RePEc:bla:mathna:v:291:y:2018:i:4:p:652-668
    DOI: 10.1002/mana.201600254
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