Title of article :
SOME SPECTRAL PROPERTIES OF STURM-LIOUVILLE PROBLEM WITH TRANSMISSION CONDITIONS
Author/Authors :
KADAKAL, M Ondokuz Mayis University - Department ofMathematics, Turkey , MUKHTAROV, O.SH Gaziosmanpasa University - Department of Mathematics, Turkey , MUHTAROV, F.S 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 :
Sturm , Liouville problem , eigenvalue , eigenfunction , Green s function , resolvent operator
Journal title :
Iranian Journal of Science and Technology Transaction A: Science
Journal title :
Iranian Journal of Science and Technology Transaction A: Science
