9 papers
Asymptotics of the eigenvalues and Abel basis property of the root functions of new type Sturm-Liouville problems
O. Sh. Mukhtarova, K. Aydemir, S. Y. Yakubov
This work investigates spectrum and root functions (that is, eigen- and associated functions) of a Sturm-Liouville problem involving an abstract linear operator (nonselfadjoint in…
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…
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…