Kadriye Aydemir, Oktay Sh. Mukhtarov
In this article we study a class of generalized BVP' s consisting of discontinuous Sturm-Liouville equation on finite number disjoint intervals, with usual boundary conditions and supplementary transmission conditions at finite number interior points. The asymptotic behaviors of the eigenvalues and eigenfunctions are discussed. By modifying some techniques of classical Sturm-Liouville theory and suggesting own approaches we find asymptotic formulas for the eigenvalues and eigenfunctions.
Submitted February 20, 2016. Published June 6, 2016.
Math Subject Classifications: 34B24, 34L20.
Key Words: Sturm-Liouville problems; eigenvalue; eigenfunction; asymptotic distribution.
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| Kadriye Aydemir |
Faculty of Education
28100 Giresun, Turkey
| Oktay Sh. Mukhtarov |
Department of Mathematics
Faculty of Arts and Science
60250 Tokat, Turkey
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