Limit-point/limit-circle classification for Hain-Lust type equations

Autor:	Henk de Snoo, Seppo Hassi, Manfred Möller
Přispěvatelé:	Dynamical Systems, Geometry & Mathematical Physics
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	SELF-ADJOINTNESS mixed-order differential system General Mathematics Sturm–Liouville theory 01 natural sciences CANONICAL SYSTEMS HAMILTONIAN-SYSTEMS symbols.namesake Weyl's limit-point ORDINARY DIFFERENTIAL-OPERATORS Distributed parameter system Simultaneous equations 0103 physical sciences Hain-Lust equation TITCHMARSH-WEYL COEFFICIENTS 0101 mathematics limit-circle classification Mathematics S-HERMITIAN SYSTEMS Independent equation ta111 010102 general mathematics Mathematical analysis EIGENVALUE PARAMETER MIXED ORDER Mathematics::Spectral Theory Sturm-Liouville problem Euler equations Nonlinear system ESSENTIAL SPECTRUM STURM-LIOUVILLE PROBLEMS symbols 010307 mathematical physics Differential algebraic equation Numerical partial differential equations
Zdroj:	Mathematische Nachrichten, 291(4), 652-668. WILEY-V C H VERLAG GMBH
ISSN:	0025-584X
DOI:	10.1002/mana.201600254
Popis:	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.
Databáze:	OpenAIRE
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