Limit‐point/limit‐circle classification for Hain–Lüst type equations | Zendy

Hassi Seppo | Zendy; Möller Manfred | Zendy; de Snoo Henk | Zendy

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

Author(s) -

Hassi Seppo,

Möller Manfred,

de Snoo Henk

Publication year - 2018

Publication title -

mathematische nachrichten

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.913

H-Index - 50

eISSN - 1522-2616

pISSN - 0025-584X

DOI - 10.1002/mana.201600254

Subject(s) - mathematics , limit (mathematics) , eigenvalues and eigenvectors , mathematical analysis , type (biology) , limit point , connection (principal bundle) , point (geometry) , differential equation , geometry , physics , ecology , quantum mechanics , biology

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.

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