DIRECT AND INVERSE PROBLEMS FOR DIFFUSION OPERATOR WITH DISCONTINUITY POINTS

In this study, the diffusion operator with discontinuity points has been considered. Under certain initial and jump conditions, integral equations have been derived for solutions and integral representation have been presented. Some important spectral properties of eigenvalue and eigenfunctions have...

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Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 9; no. 1 SI; p. 9
Main Authors Ergun, A, Amirov, R. Kh
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.01.2019
Elman Hasanoglu
Subjects
Discontinuity
Eigenvalues
Eigenvectors
Integral equations
Inverse functions
Inverse problems
Mathematical research
Operators (mathematics)
Point mappings (Mathematics)
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ISSN2146-1147
2146-1147

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Summary:In this study, the diffusion operator with discontinuity points has been considered. Under certain initial and jump conditions, integral equations have been derived for solutions and integral representation have been presented. Some important spectral properties of eigenvalue and eigenfunctions have been obtained. Reconstruction of the diffusion operator with discontinuity points problem have been proved by Weyl function, spectral datas and two sectra.Keywords: Integral equation, Sturm-Liouville, Diffusion operator, inverse problems.AMS Subject Classification: 34K08, 34L05, 34L10, 34E05
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:2146-1147
2146-1147