Third-order boundary value transmission problems

Authors

EKİN UĞURLU

DOI

10.3906/mat-1812-36

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

First Page

1518

Last Page

1532

Recommended Citation

UĞURLU, EKİN (2019) "Third-order boundary value transmission problems," Turkish Journal of Mathematics: Vol. 43: No. 3, Article 33. https://doi.org/10.3906/mat-1812-36
Available at: https://journals.tubitak.gov.tr/math/vol43/iss3/33