Deficiency indices of a differential operator satisfying certain matching interface conditions

A pair of differential operators with matching interface conditions appears in many physical applications such as: oceanography, the study of step index fiber in optical fiber communication, and one dimensional scattering in quantum theory. Here we initiate the study the deficiency index theory of s...

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Bibliographic Details
Main Authors:	Pallav Kumar Baruah, M. Venkatesulu
Format:	Article
Language:	English
Published:	Texas State University 2005-03-01
Series:	Electronic Journal of Differential Equations
Subjects:	Ordinary differential operators Green's formula deficiency index formal selfadjoint boundary-value problems boundary form deficiency space.
Online Access:	http://ejde.math.txstate.edu/Volumes/2005/38/abstr.html

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spelling	doaj-59273df5569c4e20a98d582500f0d9652020-11-24T21:03:11ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912005-03-0120053819Deficiency indices of a differential operator satisfying certain matching interface conditionsPallav Kumar BaruahM. VenkatesuluA pair of differential operators with matching interface conditions appears in many physical applications such as: oceanography, the study of step index fiber in optical fiber communication, and one dimensional scattering in quantum theory. Here we initiate the study the deficiency index theory of such operators which precedes the study of the spectral theory.http://ejde.math.txstate.edu/Volumes/2005/38/abstr.htmlOrdinary differential operatorsGreen's formuladeficiency indexformal selfadjoint boundary-value problemsboundary formdeficiency space.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Pallav Kumar Baruah M. Venkatesulu
spellingShingle	Pallav Kumar Baruah M. Venkatesulu Deficiency indices of a differential operator satisfying certain matching interface conditions Electronic Journal of Differential Equations Ordinary differential operators Green's formula deficiency index formal selfadjoint boundary-value problems boundary form deficiency space.
author_facet	Pallav Kumar Baruah M. Venkatesulu
author_sort	Pallav Kumar Baruah
title	Deficiency indices of a differential operator satisfying certain matching interface conditions
title_short	Deficiency indices of a differential operator satisfying certain matching interface conditions
title_full	Deficiency indices of a differential operator satisfying certain matching interface conditions
title_fullStr	Deficiency indices of a differential operator satisfying certain matching interface conditions
title_full_unstemmed	Deficiency indices of a differential operator satisfying certain matching interface conditions
title_sort	deficiency indices of a differential operator satisfying certain matching interface conditions
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2005-03-01
description	A pair of differential operators with matching interface conditions appears in many physical applications such as: oceanography, the study of step index fiber in optical fiber communication, and one dimensional scattering in quantum theory. Here we initiate the study the deficiency index theory of such operators which precedes the study of the spectral theory.
topic	Ordinary differential operators Green's formula deficiency index formal selfadjoint boundary-value problems boundary form deficiency space.
url	http://ejde.math.txstate.edu/Volumes/2005/38/abstr.html
work_keys_str_mv	AT pallavkumarbaruah deficiencyindicesofadifferentialoperatorsatisfyingcertainmatchinginterfaceconditions AT mvenkatesulu deficiencyindicesofadifferentialoperatorsatisfyingcertainmatchinginterfaceconditions
_version_	1716773923434004480

Deficiency indices of a differential operator satisfying certain matching interface conditions

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