scholarly journals INVERSE PROBLEMS FOR THE STURM-LIOUVILLE EQUATION WITH THE DISCONTINUOUS COEFFICIENT

2017 ◽  
Vol 7 (2) ◽  
pp. 559-580
Author(s):  
Anar Adiloglu Nabiev ◽  
◽  
Suna Saltan ◽  
Keyword(s):  
Inverse Problems ◽  
Liouville Equation ◽  
Discontinuous Coefficient ◽  
Sturm Liouville

On the boundary value problem for the Sturm-Liouville equation with the discontinuous coefficient

2012 ◽  
Vol 36 (13) ◽  
pp. 1685-1700 ◽  
Author(s):  
A. Adiloglu Nabiev ◽  
R.Kh. Amirov
Keyword(s):  
Boundary Value Problem ◽  
Liouville Equation ◽  
Boundary Value ◽  
Discontinuous Coefficient ◽  
Sturm Liouville

Inverse problems for the matrix Sturm–Liouville equation with a Bessel-type singularity

2017 ◽  
Vol 97 (7) ◽  
pp. 1209-1222
Author(s):  
Natalia P. Bondarenko
Keyword(s):  
Inverse Problems ◽  
Liouville Equation ◽  
Type Singularity ◽  
The Matrix ◽  
Sturm Liouville

scholarly journals Inverse problems for the Sturm–Liouville equation with a spectral parameter in the boundary condition

2017 ◽  
Author(s):  
Namig J. Guliyev
Keyword(s):  
Boundary Condition ◽  
Inverse Problems ◽  
Boundary Conditions ◽  
Spectral Parameter ◽  
Liouville Equation ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Eigenvalue Parameter ◽  
Sturm Liouville ◽  
Necessary And Sufficient

Inverse problems of recovering the coefficients of Sturm--Liouville problems with the eigenvalue parameter linearly contained in one of the boundary conditions are studied: (1) from the sequences of eigenvalues and norming constants; (2) from two spectra. Necessary and sufficient conditions for the solvability of these inverse problems are obtained.

THE WORK OF A. N. TIKHONOV ON INVERSE PROBLEMS FOR THE STURM-LIOUVILLE EQUATION

1976 ◽  
Vol 31 (6) ◽  
pp. 87-92
Author(s):  
Sh A Alimov
Keyword(s):  
Inverse Problems ◽  
Liouville Equation ◽  
Sturm Liouville

Partial inverse problems for the Sturm‐Liouville equation with deviating argument

2018 ◽  
Vol 41 (17) ◽  
pp. 8350-8354 ◽  
Author(s):  
Natalia P. Bondarenko ◽  
Vjacheslav A. Yurko
Keyword(s):  
Inverse Problems ◽  
Liouville Equation ◽  
Deviating Argument ◽  
Partial Inverse ◽  
Sturm Liouville

Inverse problems for the matrix Sturm–Liouville equation on a finite interval

2006 ◽  
Vol 22 (4) ◽  
pp. 1139-1149 ◽  
Author(s):  
V Yurko
Keyword(s):  
Inverse Problems ◽  
Liouville Equation ◽  
Finite Interval ◽  
The Matrix ◽  
Sturm Liouville

scholarly journals On partial fractional Sturm–Liouville equation and inclusion

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Zohreh Zeinalabedini Charandabi ◽  
Hakimeh Mohammadi ◽  
Shahram Rezapour ◽  
Hashem Parvaneh Masiha
Keyword(s):  
Differential Equation ◽  
Liouville Equation ◽  
Existence Of Solutions ◽  
Liouville Problem ◽  
Existence Of A Solution ◽  
Contractive Mappings ◽  
Sturm Liouville

AbstractThe Sturm–Liouville differential equation is one of interesting problems which has been studied by researchers during recent decades. We study the existence of a solution for partial fractional Sturm–Liouville equation by using the α-ψ-contractive mappings. Also, we give an illustrative example. By using the α-ψ-multifunctions, we prove the existence of solutions for inclusion version of the partial fractional Sturm–Liouville problem. Finally by providing another example and some figures, we try to illustrate the related inclusion result.

scholarly journals On the properties of a singular Sturm-Liouville equation determined by its spectral functions.

1957 ◽  
Vol 4 (2) ◽  
pp. 137-145 ◽  
Author(s):  
Avner Friedman
Keyword(s):  
Liouville Equation ◽  
Spectral Functions ◽  
Sturm Liouville
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