Third-Order Boundary Value Transmission Problems
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Abstract
In this paper, we consider some third-order operators with transmission conditions. In particular, it is shown that such operators are formally symmetric in the corresponding Hilbert spaces and we introduce the resolvent operators associated with the differential operators. After showing that the eigenvalues of the problems are real and discrete we introduce some ordinary and Frechet derivatives of the eigenvalues with respect to some elements of data.
Description
Ugurlu, Ekin/0000-0002-0540-8545
ORCID
Keywords
Third-Order Differential Operator, Transmission Conditions, Frechet Derivative, Matematik, Parameter dependent boundary value problems for ordinary differential equations, transmission conditions, Linear boundary value problems for ordinary differential equations, General theory of ordinary differential operators, Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators, third-order differential operator, Frechet derivative
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Uğurlu, Ekin, "Third-order boundary value transmission problems", Turkish Journal of Mathematics, Vol. 43, No. 3, pp. 1518-1532, (2019).
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OpenCitations Citation Count
12
Volume
43
Issue
3
Start Page
1518
End Page
1532
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CrossRef : 7
Scopus : 17
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