Limit‐point/limit‐circle classification for Hain–Lüst type equations
Copyright policy )Limit‐point/limit‐circle classification for Hain–Lüst type equations
AbstractHain–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.
- University of Groningen Netherlands
- University of the Witwatersrand South Africa
- University of Vaasa Finland
SELF-ADJOINTNESS, mixed-order differential system, S-HERMITIAN SYSTEMS, EIGENVALUE PARAMETER, ta111, MIXED ORDER, Hain-Lüst equation, CANONICAL SYSTEMS, Sturm-Liouville problem, Weyl's limit-point/limit-circle classification, HAMILTONIAN-SYSTEMS, Weyl theory and its generalizations for ordinary differential equations, Weyl's limit-point, Sturm-Liouville theory, ESSENTIAL SPECTRUM, ORDINARY DIFFERENTIAL-OPERATORS, Hain-Lust equation, STURM-LIOUVILLE PROBLEMS, TITCHMARSH-WEYL COEFFICIENTS, Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter, limit-circle classification
SELF-ADJOINTNESS, mixed-order differential system, S-HERMITIAN SYSTEMS, EIGENVALUE PARAMETER, ta111, MIXED ORDER, Hain-Lüst equation, CANONICAL SYSTEMS, Sturm-Liouville problem, Weyl's limit-point/limit-circle classification, HAMILTONIAN-SYSTEMS, Weyl theory and its generalizations for ordinary differential equations, Weyl's limit-point, Sturm-Liouville theory, ESSENTIAL SPECTRUM, ORDINARY DIFFERENTIAL-OPERATORS, Hain-Lust equation, STURM-LIOUVILLE PROBLEMS, TITCHMARSH-WEYL COEFFICIENTS, Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter, limit-circle classification
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