Third-order boundary value transmission problems

Authors: EKİN UĞURLU

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.

Keywords: Third-order differential operator, transmission conditions, Frechet derivative

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