In this paper we get asymptotic formulas for eigenvalues and eigenfunctions of discontinuous two-point boundary value problems with the eigenparameter in the boundary conditions with transmission conditions at the two...
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In this paper we get asymptotic formulas for eigenvalues and eigenfunctions of discontinuous two-point boundary value problems with the eigenparameter in the boundary conditions with transmission conditions at the two points of discontinuity. When our problem is continuous the obtained results coincide with the corresponding results in [3].
We consider a discontinuous Sturm-Liouville equation together with two supplementary transmission conditions at the point of discontinuity. We suggest our own approach for finding asymptotic approximation formulas for...
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We consider a discontinuous Sturm-Liouville equation together with two supplementary transmission conditions at the point of discontinuity. We suggest our own approach for finding asymptotic approximation formulas for the eigenvalues of such discontinuous problems.
作者：
Z.Akdog■anM.DemirciO.Sh.MukhtarovDepartment of Mathematics
Faculty of Science-Art Gaziosmanpas■a University 60100 Tokat TurkeyDepartment of Mathematics Faculty of Science-Art Gaziosmanpas■a University 60100 Tokat TurkeyDepartment of Mathematics Faculty of Science-Art Gaziosmanpas■a University 60100 Tokat Turkey
The purpose of this paper is to extend some fundamental spectral properties of regular Sturm-Liouville problems to special kind discontinuous boundary value problem, which consist of a Sturm-Liouville equation with pi...
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The purpose of this paper is to extend some fundamental spectral properties of regular Sturm-Liouville problems to special kind discontinuous boundary value problem, which consist of a Sturm-Liouville equation with piecewise continuous potential together with eigenvalue parameter on the boundary and transmission conditions. The authors suggest their own approach for finding asymptotic approximations formulas for eigenvalues and eigenfunctions of such discontinuous problems.
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