Differential operator equations with interface conditions in modified direct sum spaces

We investigate a new type boundary value problem consisting of a differential-operator equation, eigendependent boundary conditions and two supplementary conditions so-called interface conditions. We give a characterisation of some spectral properties of the considered problem. Particularly, it is e...

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Bibliographic Details
Main Authors: Aydemir, Kadriye, Mukhtarov, Oktay Sh, Olğar, Hayati
Format: Conference Proceeding
Language:English
Subjects:
Boundary conditions
Boundary value problems
Coercivity
Differential equations
Eigenvalues
Isomorphism
Operators (mathematics)
Online Access:Get full text
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Summary:We investigate a new type boundary value problem consisting of a differential-operator equation, eigendependent boundary conditions and two supplementary conditions so-called interface conditions. We give a characterisation of some spectral properties of the considered problem. Particularly, it is established such properties as isomorphism and coerciveness, discreteness of the spectrum and find asymptotic formulas for eigenvalues.
ISSN:0094-243X
1551-7616
DOI:10.1063/1.4959642