Sampling of Discontinuous Dirac Systems

In this article, we study discontinuous regular Dirac systems with transmission conditions at the point of discontinuity. We study briey the spectral analysis of problem as Levitan and Sargsjan [ 23 ]. In the special case, when our problem is continuous, the obtained results coincide with the corres...

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Published inNumerical functional analysis and optimization Vol. 34; no. 3; pp. 323 - 348
Main Authors Tharwat, M. M., Yildirim, A., Bhrawy, A. H.
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 01.03.2013
Subjects
Dirac systems
Discontinuity
Discontinuous boundary value problems
Green's function
Sampling theory
Transmission conditions
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Summary:In this article, we study discontinuous regular Dirac systems with transmission conditions at the point of discontinuity. We study briey the spectral analysis of problem as Levitan and Sargsjan [ 23 ]. In the special case, when our problem is continuous, the obtained results coincide with the corresponding results in Abd-Alla and Annaby [ 1 ] and Zayed and Garcia [ 30 ]. We derive sampling representations for transforms whose kernels are either solutions or Green's functions.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0163-0563
1532-2467
DOI:10.1080/01630563.2012.693565