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TWO-INTERVAL EVEN-ORDER DIFFERENTIAL OPERATORS IN MODIFIED HILBERT SPACES

Part of: Boundary value problems

Published online by Cambridge University Press:  12 December 2011

JIANQING SUO  and
WANYI WANG
JIANQING SUO
Affiliation:
Math. Dept., Inner Mongolia University, Hohhot, 010021, China (email: sjq.hello@163.com)
WANYI WANG
Affiliation:
Math. Dept., Inner Mongolia University, Hohhot, 010021, China (email: wwy@imu.edu.cn)
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Abstract

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By modifying the inner product in the direct sum of the Hilbert spaces associated with each of two underlying intervals on which an even-order equation is defined, we generate self-adjoint realisations for boundary conditions with any real coupling matrix which are much more general than the coupling matrices from the ‘unmodified’ theory.

Keywords

self-adjointinterface conditionstransmission conditions

MSC classification

Secondary: 34B20: Weyl theory and its generalizations 34B24: Sturm-Liouville theory
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 85 , Issue 2 , April 2012 , pp. 241 - 260
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

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