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.
Third-order differential operator, transmission conditions, Frechet derivative
"Third-order boundary value transmission problems,"
Turkish Journal of Mathematics: Vol. 43:
3, Article 33.
Available at: https://journals.tubitak.gov.tr/math/vol43/iss3/33