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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