Sturm-Liouville operators with singular potentials. Zbl 0968.34072
Savchuk, A. M.; Shkalikov, A. A. |
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1999
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Sturm-Liouville operators with distribution potentials. Zbl 1066.34085
Savchuk, A. M.; Shkalikov, A. A. |
|
2003
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Inverse problems for Sturm-Liouville operators with potentials in Sobolev spaces: uniform stability. Zbl 1271.34017
Savchuk, A. M.; Shkalikov, A. A. |
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2010
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The Dirac operator with complex-valued summable potential. Zbl 1320.34118
Savchuk, A. M.; Shkalikov, A. A. |
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2014
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On the eigenvalues of the Sturm-Liouville operator with potentials from Sobolev spaces. Zbl 1129.34055
Savchuk, A. M.; Shkalikov, A. A. |
|
2006
|
Inverse problem for Sturm-Liouville operators with distribution potentials: reconstruction from two spectra. Zbl 1396.34008
Savchuk, A. M.; Shkalikov, A. A. |
|
2005
|
Trace formula for Sturm-Liouville operators with singular potentials. Zbl 1005.34077
Savchuk, A. M.; Shakalikov, A. A. |
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2001
|
On the eigenvalues and eigenfunctions of the Sturm-Liouville operator with a singular potential. Zbl 0996.34023
Savchuk, A. M. |
|
2001
|
Spectral properties of the complex Airy operator on the half-line. Zbl 1372.34131
Savchuk, Artem M.; Shkalikov, A. A. |
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2017
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On the properties of maps connected with inverse Sturm-Liouville problems. Zbl 1233.34010
Savchuk, A. M.; Shkalikov, A. A. |
|
2008
|
First-order regularised trace of the Sturm-Liouville operator with \(\delta\)-potential. Zbl 1015.34075
Savchuk, A. M. |
|
2000
|
Asymptotic analysis of solutions of ordinary differential equations with distribution coefficients. Zbl 1477.34032
Savchuk, Artëm M.; Shkalikov, Andreĭ A. |
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2020
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Asymptotic formulas for fundamental solutions of the Dirac system with complex-valued integrable potential. Zbl 1283.34078
Savchuk, A. M.; Sadovnichaya, I. V. |
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2013
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Recovering a potential of the Sturm-Liouville problem from finite sets of spectral data. Zbl 1327.34031
Savchuk, A. M.; Shkalikov, A. A. |
|
2014
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The Riesz basis property of generalized eigenspaces for a Dirac system with integrable potential. Zbl 1478.34097
Savchuk, A. M.; Sadovnichaya, I. V. |
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2015
|
The Riesz basis property with brackets for Dirac systems with summable potentials. Zbl 1409.34073
Savchuk, A. M.; Sadovnichaya, I. V. |
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2018
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Trace of order \((-1)\) for a string with singular weight. Zbl 1384.34027
Ivanov, A. S.; Savchuk, A. M. |
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2017
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On the basis property of the system of eigenfunctions and associated functions of a one-dimensional Dirac operator. Zbl 1416.34075
Savchuk, Artem M. |
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2018
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Uniform stability of the inverse Sturm-Liouville problem with respect to the spectral function in the scale of Sobolev spaces. Zbl 1292.34014
Savchuk, A. M.; Shkalikov, A. A. |
|
2013
|
Estimates of Riesz constants for the Dirac system with an integrable potential. Zbl 1433.34112
Savchuk, A. M.; Sadovnichaya, I. V. |
|
2018
|
On the interpolation of analytic mappings. Zbl 1291.46020
Savchuk, A. M.; Shkalikov, A. A. |
|
2013
|
Reconstruction of the potential of the Sturm-Liouville operator from a finite set of eigenvalues and normalizing constants. Zbl 1352.34022
Savchuk, Artem M. |
|
2016
|
Schrödinger operators with singular potentials. Zbl 1020.34081
Neiman-zade, M. I.; Savchuk, A. M. |
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2002
|
On the existence of an operator group generated by the one-dimensional Dirac system. Zbl 1443.47045
Savchuk, A. M.; Sadovnichaya, I. V. |
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2019
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Equiconvergence of spectral decompositions for Sturm-Liouville operators: triples of Lebesgue spaces. Zbl 1471.34052
Savchuk, A. M.; Sadovnichaya, I. V. |
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2021
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Uniform estimates of remainders in spectral analysis of linear differential systems. Zbl 1422.34247
Savchuk, Artëm M. |
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2019
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Equiconvergence of spectral decompositions for Sturm-Liouville operators with a distributional potential in scales of spaces. Zbl 1486.34169
Savchuk, A. M.; Sadovnichaya, I. V. |
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2021
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Dirac system with potential lying in Besov spaces. Zbl 1353.34109
Savchuk, A. M. |
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2016
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Equiconvergence of spectral decompositions for Sturm-Liouville operators: triples of Lebesgue spaces. Zbl 1471.34052
Savchuk, A. M.; Sadovnichaya, I. V. |
|
2021
|
Equiconvergence of spectral decompositions for Sturm-Liouville operators with a distributional potential in scales of spaces. Zbl 1486.34169
Savchuk, A. M.; Sadovnichaya, I. V. |
|
2021
|
Asymptotic analysis of solutions of ordinary differential equations with distribution coefficients. Zbl 1477.34032
Savchuk, Artëm M.; Shkalikov, Andreĭ A. |
|
2020
|
On the existence of an operator group generated by the one-dimensional Dirac system. Zbl 1443.47045
Savchuk, A. M.; Sadovnichaya, I. V. |
|
2019
|
Uniform estimates of remainders in spectral analysis of linear differential systems. Zbl 1422.34247
Savchuk, Artëm M. |
|
2019
|
The Riesz basis property with brackets for Dirac systems with summable potentials. Zbl 1409.34073
Savchuk, A. M.; Sadovnichaya, I. V. |
|
2018
|
On the basis property of the system of eigenfunctions and associated functions of a one-dimensional Dirac operator. Zbl 1416.34075
Savchuk, Artem M. |
|
2018
|
Estimates of Riesz constants for the Dirac system with an integrable potential. Zbl 1433.34112
Savchuk, A. M.; Sadovnichaya, I. V. |
|
2018
|
Spectral properties of the complex Airy operator on the half-line. Zbl 1372.34131
Savchuk, Artem M.; Shkalikov, A. A. |
|
2017
|
Trace of order \((-1)\) for a string with singular weight. Zbl 1384.34027
Ivanov, A. S.; Savchuk, A. M. |
|
2017
|
Reconstruction of the potential of the Sturm-Liouville operator from a finite set of eigenvalues and normalizing constants. Zbl 1352.34022
Savchuk, Artem M. |
|
2016
|
Dirac system with potential lying in Besov spaces. Zbl 1353.34109
Savchuk, A. M. |
|
2016
|
The Riesz basis property of generalized eigenspaces for a Dirac system with integrable potential. Zbl 1478.34097
Savchuk, A. M.; Sadovnichaya, I. V. |
|
2015
|
The Dirac operator with complex-valued summable potential. Zbl 1320.34118
Savchuk, A. M.; Shkalikov, A. A. |
|
2014
|
Recovering a potential of the Sturm-Liouville problem from finite sets of spectral data. Zbl 1327.34031
Savchuk, A. M.; Shkalikov, A. A. |
|
2014
|
Asymptotic formulas for fundamental solutions of the Dirac system with complex-valued integrable potential. Zbl 1283.34078
Savchuk, A. M.; Sadovnichaya, I. V. |
|
2013
|
Uniform stability of the inverse Sturm-Liouville problem with respect to the spectral function in the scale of Sobolev spaces. Zbl 1292.34014
Savchuk, A. M.; Shkalikov, A. A. |
|
2013
|
On the interpolation of analytic mappings. Zbl 1291.46020
Savchuk, A. M.; Shkalikov, A. A. |
|
2013
|
Inverse problems for Sturm-Liouville operators with potentials in Sobolev spaces: uniform stability. Zbl 1271.34017
Savchuk, A. M.; Shkalikov, A. A. |
|
2010
|
On the properties of maps connected with inverse Sturm-Liouville problems. Zbl 1233.34010
Savchuk, A. M.; Shkalikov, A. A. |
|
2008
|
On the eigenvalues of the Sturm-Liouville operator with potentials from Sobolev spaces. Zbl 1129.34055
Savchuk, A. M.; Shkalikov, A. A. |
|
2006
|
Inverse problem for Sturm-Liouville operators with distribution potentials: reconstruction from two spectra. Zbl 1396.34008
Savchuk, A. M.; Shkalikov, A. A. |
|
2005
|
Sturm-Liouville operators with distribution potentials. Zbl 1066.34085
Savchuk, A. M.; Shkalikov, A. A. |
|
2003
|
Schrödinger operators with singular potentials. Zbl 1020.34081
Neiman-zade, M. I.; Savchuk, A. M. |
|
2002
|
Trace formula for Sturm-Liouville operators with singular potentials. Zbl 1005.34077
Savchuk, A. M.; Shakalikov, A. A. |
|
2001
|
On the eigenvalues and eigenfunctions of the Sturm-Liouville operator with a singular potential. Zbl 0996.34023
Savchuk, A. M. |
|
2001
|
First-order regularised trace of the Sturm-Liouville operator with \(\delta\)-potential. Zbl 1015.34075
Savchuk, A. M. |
|
2000
|
Sturm-Liouville operators with singular potentials. Zbl 0968.34072
Savchuk, A. M.; Shkalikov, A. A. |
|
1999
|