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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.