Reconstruction Of The Sturm-liouville Operators With Transmission And Parameter Dependent Boundary Conditions

Journal of Mathematics and Computer Science ◽

10.22436/jmcs.013.02.06 ◽

2014 ◽

Vol 13 (02) ◽

pp. 142-156

Author(s):

Mostafa Fallahi ◽

Fereshte Sharaghi ◽

Mohammad Shahriari

Keyword(s):

Boundary Conditions ◽

Sturm Liouville ◽

Parameter Dependent ◽

Liouville Operators

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Inverse Scattering Problems for Sturm–Liouville Operators with Spectral Parameter Dependent on Boundary Conditions

Mathematical Notes ◽

10.1134/s0001434618010078 ◽

2018 ◽

Vol 103 (1-2) ◽

pp. 59-66 ◽

Author(s):

Ying Yang ◽

Guangsheng Wei

Keyword(s):

Boundary Conditions ◽

Inverse Scattering ◽

Spectral Parameter ◽

Scattering Problems ◽

Inverse Scattering Problems ◽

Sturm Liouville ◽

Parameter Dependent ◽

Liouville Operators

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Theorems on asymptotics for singular Sturm-Liouville operators with various boundary conditions

Differential Equations ◽

10.1134/s001226611405005x ◽

2014 ◽

Vol 50 (5) ◽

pp. 623-632

Author(s):

O. A. Shveikina

Keyword(s):

Boundary Conditions ◽

Various Boundary Conditions ◽

Sturm Liouville ◽

Liouville Operators

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Inverse problems for Sturm-Liouville operators with interior discontinuities and boundary conditions dependent on the spectral parameter

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.2662 ◽

2012 ◽

Vol 36 (7) ◽

pp. 857-868 ◽

Author(s):

Yu Ping Wang

Keyword(s):

Inverse Problems ◽

Boundary Conditions ◽

Spectral Parameter ◽

Sturm Liouville ◽

Liouville Operators

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Asymptotic Eigenvalues of Regular Sturm-Liouville Problems with Spectral Parameter-Dependent Boundary Conditions and Symmetric Single Well Potential

Turkish Journal of Mathematics and Computer Science ◽

10.47000/tjmcs.851839 ◽

2021 ◽

Author(s):

Elif BAŞKAYA

Keyword(s):

Boundary Conditions ◽

Spectral Parameter ◽

Single Well ◽

Sturm Liouville ◽

Parameter Dependent

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INVERSE PROBLEMS OF SPECTRAL ANALYSIS FOR STURM-LIOUVILLE OPERATORS WITH NONSEPARATED BOUNDARY CONDITIONS

Mathematics of the USSR-Sbornik ◽

10.1070/sm1988v059n01abeh003121 ◽

1988 ◽

Vol 59 (1) ◽

pp. 1-23 ◽

Author(s):

O A Plaksina

Keyword(s):

Spectral Analysis ◽

Inverse Problems ◽

Boundary Conditions ◽

Nonseparated Boundary Conditions ◽

Sturm Liouville ◽

Liouville Operators

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Numerical comparison of sinc-collocation and Chebychev-collocation methods for determining the eigenvalues of Sturm–Liouville problems with parameter-dependent boundary conditions

SeMA Journal ◽

10.1007/s40324-014-0022-9 ◽

2014 ◽

Vol 66 (1) ◽

pp. 29-42 ◽

Author(s):

Mohamed El-Gamel

Keyword(s):

Boundary Conditions ◽

Collocation Methods ◽

Numerical Comparison ◽

Sturm Liouville ◽

Parameter Dependent

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Equiconvergence theorems for singular Sturm-Liouville operators with various boundary conditions

Differential Equations ◽

10.1134/s0012266115020032 ◽

2015 ◽

Vol 51 (2) ◽

pp. 177-185

Author(s):

O. A. Shveikina

Keyword(s):

Boundary Conditions ◽

Various Boundary Conditions ◽

Sturm Liouville ◽

Liouville Operators

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Boundary conditions of Sturm–Liouville operators with mixed spectra

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2003.09.008 ◽

2003 ◽

Vol 288 (2) ◽

pp. 518-529 ◽

Author(s):

R. del Rio ◽

Olga Tchebotareva

Keyword(s):

Boundary Conditions ◽

Sturm Liouville ◽

Liouville Operators

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Computation of the eigenvalues of Sturm-Liouville problems with parameter dependent boundary conditions using the regularized sampling method

Mathematics of Computation ◽

10.1090/s0025-5718-05-01717-5 ◽

2005 ◽

Vol 74 (252) ◽

pp. 1793-1802 ◽

Author(s):

Bilal Chanane

Keyword(s):

Boundary Conditions ◽

Sampling Method ◽

Sturm Liouville ◽

Parameter Dependent

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Asymptotic formulas for Dirichlet boundary value problems

Studia Scientiarum Mathematicarum Hungarica ◽

10.1556/sscmath.42.2005.2.3 ◽

2005 ◽

Vol 42 (2) ◽

pp. 153-171 ◽

Author(s):

Bülent Yilmaz ◽

O. A. Veliev

Keyword(s):

Boundary Conditions ◽

Main Part ◽

Dirichlet Boundary ◽

Arbitrary Order ◽

Dirichlet Boundary Conditions ◽

Asymptotic Formulas ◽

Summable Function ◽

Special Cases ◽

Sturm Liouville ◽

Liouville Operators

In this article we obtain asymptotic formulas of arbitrary order for eigenfunctions and eigenvalues of the nonselfadjoint Sturm-Liouville operators with Dirichlet boundary conditions, when the potential is a summable function. Then using these we compute the main part of the eigenvalues in special cases.

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