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In this paper, we investigate a class of Sturm-Liouville problems with eigenparameter-dependent boundary conditions and transmission conditions at an interior point. A self-adjoint linear operator A is defined in a suitable Hilbert space H such that the eigenvalues of such a problem coincide with those of A. We show that the eigenvalues of the problem are(More)
The self-adjoint domains associated with a scalar differential expression of an arbitrary even order are investigated in this paper. There is a known one-to-one correspondence between these domains and the complete Lagrangian subspaces of a naturally defined symplectic space. Using this correspondence, a characterization of the self-adjoint domains is(More)
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