Left‐definite problems of regular self‐adjoint differential equations of even order | Zendy

Wei Guangsheng | Zendy; Xu HongKun | Zendy

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Left‐definite problems of regular self‐adjoint differential equations of even order

Author(s) -

Wei Guangsheng,

Xu HongKun

Publication year - 2011

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.200710195

Subject(s) - mathematics , boundary value problem , mathematical analysis , positive definite matrix , order (exchange) , differential equation , self adjoint operator , pure mathematics , hilbert space , eigenvalues and eigenvectors , physics , finance , quantum mechanics , economics

The left‐definite boundary conditions of the problem consisting of a regular formally self‐adjoint differential equation of even order and a self‐adjoint boundary condition are characterized in terms of a certain fundamental set of solutions of the equation. Based on the left‐definite boundary conditions, all the left‐definite spaces of the problem are described explicitly. © 2011 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim

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