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Completeness of one two-interval boundary value problem with transmission conditions
K. Aydemir, O. Sh. Mukhtarov
This paper presents a new approach to the two-interval Sturm-Liouville eigenfunction expansions, based essentially on the method of integral equations. We consider the Sturm-Liouvi…
BVP's with discontinuities at finite number interior points and spectral parameter in the boundary conditions
Kadriye Aydemir
In this study we are concerned with a class of generalized BVP' s consisting of eigendependent boundary conditions and supplementary transmission conditions at finite number interi…
Green's Function of a generalized boundary value transmission problem
Kadriye Aydemir
The aim of this study is to investigate a class of generalized boundary value transmission problems (BVTP's) for Sturm-Liouville equation on two separate intervals. We introduce mo…
Asymptotic formulas for eigenvalues and eigenfunctions of boundary value problem
O. Sh. Mukhtarov, K. Aydemir
In this paper we are concerned with a new class of BVP' s consisting of eigendependent boundary conditions and two supplementary transmission conditions at one interior point. By m…
Boundary value problem with transmission conditions
K. Aydemir, O. Sh. Mukhtarov
One important innovation here is that for the Sturm-Liouville considered equation together with eigenparameter dependent boundary conditions and two supplementary transmission cond…
Asymptotic properties of boundary-value problem with transmission conditions
O. Sh. Mukhtarov, K. Aydemir
In this study by applying an own technique we investigate some asymptotic approximation properties of new type discontinuous boundary-value problems, which consists of a Sturm-Liou…
Modified Expansion Theorem for Sturm-Liouville problem with transmission conditions
K. Aydemir, O. Sh. Mukhtarov
This paper is devoted to the derivation of expansion a associated with a discontinuous Sturm-Liouville problems defined on . We derive an eigenfunction expansion…
Expansion Theorem for Sturm-Liouville problems transmission conditions
O. Sh. Mukhtarov, K. Aydemir
The purpose of this paper is to extend some spectral properties of regular Sturm-Liouville problems to the special type discontinuous boundary-value problem, which consists of a St…
Green's function for Sturm-Liouville problem
O. Sh. Mukhtarov, K. Aydemir
The purpose of this study is to investigate a new class of boundary value transmission problems (BVTP's) for Sturm-Liouville equation on two separate intervals. We introduce modifi…
Selfadjoint realization of boundary-value problems with interior singularities
K. Aydemir, O. Sh. Mukhtarov
The purpose of this paper is to investigate some spectral properties of Sturm-Liouville type problems with interior singularities. Some of the mathematical aspects necessary for de…