Kadriye Aydemir, Oktay Sh. Mukhtarov
Abstract:
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 Giresun University 28100 Giresun, Turkey email: kadriyeaydemr@gmail.com | |
Oktay Sh. Mukhtarov Department of Mathematics Faculty of Arts and Science Gaziosmanpasa University 60250 Tokat, Turkey email: omukhtarov@yahoo.com |
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