Eigenvalues of a class of fourth-order boundary value problems with transmission conditions using matrix theory.

A class of fourth-order boundary value problems with general self-adjoint boundary and transmission conditions is investigated. It is shown that such boundary value problems with a finite number of eigenvalues are equivalent to certain types of matrix eigenvalue problems. Moreover, the results are given under the general self-adjoint transmission conditions and the self-adjoint canonical forms of the fourth-order problems which are classified as separated, mixed and coupled, respectively. [ABSTRACT FROM AUTHOR]