SOME SPECTRAL PROPERTIES OF STURM-LIOUVILLE PROBLEM WITH TRANSMISSION CONDITIONS

Document Type : Regular Paper

Authors

1 Ondokuz Mayis University, Science and Arts Faculty, Department of Mathematics 55139 Kurupelit, Samsun, Turkey

2 Gaziosmanpasa University, Science and Arts Faculty, Department of Mathematics 60000-Tokat-Turkey

3 Azerbaijan Science Academy, Mathematics and Mechanic Institute, Baku-Azerbaijan

Abstract

We investigate the boundary-value problem generated by the Sturm-Liouville equation with
discontinuous coefficients, eigenparameter dependent boundary conditions and transmission conditions
at the point of discontinuity. With a different approach we introduce an adequate Hilbert space
formulation, investigate some properties of eigenvalues, Green’s function and resolvent operator, and
find simple conditions on the coefficients which guarantee the self-adjointness of the considered
problem.

Keywords

Iranian Journal of Science
Volume 29, Issue 2 - Serial Number 2
September and October 2005
Pages 229-245

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