Bondarenko, Natalia P.

2024

• 1 Bondarenko N.P. Necessary and Sufficient Conditions for Solvability of an Inverse Problem for Higher-Order Differential Operators // MATHEMATICS 2024. — Vol. 12. Issue 1. № 1.

2023

• 1 Bondarenko N.P., Chitorkin E.E. Inverse Sturm–Liouville Problem with Spectral Parameter in the Boundary Conditions // MATHEMATICS 2023. — Vol. 11. Issue 5. № 5.
• 2 Bondarenko N.P. Local Solvability and Stability of an Inverse Spectral Problem for Higher-Order Differential Operators // MATHEMATICS 2023. — Vol. 11. Issue 18. № 18.
• 3 Chitorkin E.E., Bondarenko N.P. Solving the inverse Sturm–Liouville problem with singular potential and with polynomials in the boundary conditions // Analysis and Mathematical Physics 2023. — Vol. 13. Issue 5. № 5.
• 4 Bondarenko N.P. Partial Inverse Sturm-Liouville Problems // MATHEMATICS 2023. — Vol. 11. Issue 10. № 10.
• 5 Bondarenko N.P. Linear differential operators with distribution coefficients of various singularity orders // MATHEMATICAL METHODS IN THE APPLIED SCIENCES 2023. — Vol. 46. Issue 6. № 6. — P. 6639-6659
• 6 Xu Xin-Jian, Yang Chuan-Fu, Bondarenko N. Inverse spectral problems for radial Schrödinger operators and closed systems // Journal of Differential Equations 2023. — Vol. 342. — P. 343-368
• 7 Bondarenko N.P. Inverse problem for a differential operator on a star-shaped graph with nonlocal matching condition // Boletin de la Sociedad Matematica Mexicana 2023. — Vol. 29. Issue 1. № 1.

2022

• 1 Bondarenko N.P. Inverse spectral problems for functional-differential operators with involution // Journal of Differential Equations 2022. — Vol. 318. — P. 169-186
• 2 Bondarenko N.P., Yurko V.A. Inverse problems of recovering first-order integro-differential operators from spectra // Applicable Analysis 2022. —
• 3 Bondarenko N.P. Finite-difference approximation of the inverse Sturm–Liouville problem with frozen argument // Applied Mathematics and Computation 2022. — Vol. 413.
• 4 Bondarenko N.P. Reconstruction of Higher-Order Differential Operators by Their Spectral Data // MATHEMATICS 2022. — Vol. 10. Issue 20. № 20.
• 5 Xu X.-C., Bondarenko N.P. Stability of the inverse scattering problem for the self-adjoint matrix Schrödinger operator on the half line // Studies in Applied Mathematics 2022. —
• 6 Bondarenko N.P., Yurko V.A. A NEW APPROACH TO THE INVERSE DISCRETE TRANSMISSION EIGENVALUE PROBLEM // INVERSE PROBLEMS AND IMAGING 2022. — Vol. 16. Issue 4. № 4. — P. 739-751
• 7 Bondarenko N.P. SPECTRAL DATA ASYMPTOTICS FOR THE HIGHER-ORDER DIFFERENTIAL OPERATORS WITH DISTRIBUTION COEFFICIENTS // Journal of Mathematical Sciences 2022. — Vol. 266. Issue 5. № 5. — P. 794-815
• 8 Xu X.C., Bondarenko N.P. On the Local Solvability and Stability for the Inverse Spectral Problem of the Generalized Dirichlet—Regge Problem // Acta Mathematica Sinica, English Series 2022. — Vol. 38. Issue 7. № 7. — P. 1229-1240

2021

• 1 Zhang R., Bondarenko N.P., Yang C.F. Solvability of an inverse problem for discontinuous Sturm–Liouville operators // MATHEMATICAL METHODS IN THE APPLIED SCIENCES 2021. — Vol. 44. Issue 1. — P. 124-139
• 2 Bondarenko N.P. Inverse problem solution and spectral data characterization for the matrix Sturm–Liouville operator with singular potential // Analysis and Mathematical Physics 2021. — Vol. 11. Issue 4.
• 3 Bondarenko N.P. Direct and Inverse Problems for the Matrix Sturm–Liouville Operator with General Self-Adjoint Boundary Conditions // Mathematical Notes 2021. — Vol. 109. Issue 3-4. — P. 358-378
• 4 Bondarenko N.P. A partial inverse Sturm-Liouville problem on an arbitrary graph // MATHEMATICAL METHODS IN THE APPLIED SCIENCES 2021. — Vol. 44. Issue 8. — P. 6896-6910
• 5 Yang C.-F., Bondarenko N. Reconstruction and solvability for discontinuous Hochstadt–Lieberman problems // JOURNAL OF SPECTRAL THEORY 2021. — Vol. 10. Issue 4. — P. 1445-1469
• 6 Bondarenko N.P., Gaydel A. V. Solvability and stability of the inverse problem for the quadratic differential pencil // MATHEMATICS 2021. — Vol. 9. Issue 20.
• 7 Bondarenko N.P. Inverse spectral problems for arbitrary-order differential operators with distribution coefficients // MATHEMATICS 2021. — Vol. 9. Issue 22.
• 8 Zhang R., Yang C.-F., Bondarenko N.P. Inverse spectral problems for the Dirac operator with complex-valued weight and discontinuity // Journal of Differential Equations 2021. — Vol. 278. — P. 100-110
• 9 Xu X.-J., Bondarenko N., Yang C.-F. Inverse spectral problems for Bessel operators with interior transmission conditions // Journal of Mathematical Analysis and Applications 2021. — Vol. 504. Issue 2.

2020

• 1 Bondarenko N.P. Inverse Sturm-Liouville problem with analytical functions in the boundary condition // OPEN MATHEMATICS 2020. — Vol. 18. Issue 1. — P. 512-528
• 2 Bondarenko N., Buterin S. Numerical solution and stability of the inverse spectral problem for a convolution integro-differential operator // Communications in Nonlinear Science and Numerical Simulation 2020. — Vol. 89.
• 3 Yang C.-F., Bondarenko N.P., Xu X.-C. An inverse problem for the sturm-liouville pencil with arbitrary entire functions in the boundary condition // INVERSE PROBLEMS AND IMAGING 2020. — Vol. 14. Issue 1. — P. 153-169
• 4 Bondarenko N.P. Spectral data characterization for the Sturm–Liouville operator on the star-shaped graph // Analysis and Mathematical Physics 2020. — Vol. 10. Issue 4.
• 5 Bondarenko N.P. Solvability and stability of the inverse Sturm–Liouville problem with analytical functions in the boundary condition // MATHEMATICAL METHODS IN THE APPLIED SCIENCES 2020. — Vol. 43. Issue 11. — P. 7009-7021
• 6 Zhang R., Xu X.-C., Yang C.-F. etc. Determination of the impulsive Sturm-Liouville operator from a set of eigenvalues // Journal of Inverse and Ill-Posed Problems 2020. — Vol. 28. Issue 3. — P. 341-348
• 7 Bondarenko N.P. Local solvability and stability of the inverse problem for the non-self-adjoint Sturm–Liouville operator // Boundary Value Problems 2020. — Vol. 2020. Issue 1.
• 8 Hu Y.-T., Bondarenko N.P., Yang C.-F. Traces and inverse nodal problem for Sturm–Liouville operators with frozen argument // Applied Mathematics Letters 2020. — Vol. 102.
• 9 Bondarenko N.P. Solving an Inverse Problem for the Sturm-Liouville Operator with Singular Potential by Yurko’s Method // Tamkang Journal of Mathematics 2020. — Vol. 52. Issue 1.
• 10 Bondarenko N.P., Shieh C.-T. Partial inverse problems for quadratic differential pencils on a graph with a loop // Journal of Inverse and Ill-Posed Problems 2020. — Vol. 28. Issue 3. — P. 449-463
• 11 Yang C.-F., Bondarenko N.P. Local solvability and stability of inverse problems for Sturm-Liouville operators with a discontinuity // Journal of Differential Equations 2020. — Vol. 268. Issue 10. — P. 6173-6188
• 12 Wang Y.P., Bondarenko N., Shieh C.T. The inverse problem for differential pencils on a star-shaped graph with mixed spectral data // Science China Mathematics 2020. — Vol. 63. Issue 8. — P. 1559-1570
• 13 Bondarenko N.P. Spectral analysis of the Sturm-Liouville operator on the star-shaped graph // MATHEMATICAL METHODS IN THE APPLIED SCIENCES 2020. — Vol. 43. Issue 2. — P. 471-485
• 14 Bondarenko N., Buterin S. An inverse spectral problem for integro-differential Dirac operators with general convolution kernels // Applicable Analysis 2020. — Vol. 99. Issue 4. — P. 700-716
• 15 Guan S.-Y., Yang C.-F., Bondarenko N. etc. On the Hochstadt-Lieberman type problem with eigenparameter dependent boundary condition // Journal of Inverse and Ill-Posed Problems 2020. — Vol. 28. Issue 4. — P. 557-565
• 16 Bondarenko N.P. A partial inverse problem for the Dirac system with an integral delay // Inverse Problems in Science and Engineering 2020. — Vol. 28. Issue 4. — P. 513-523
• 17 Bondarenko N.P. Constructive solution of the inverse spectral problem for the matrix Sturm–Liouville operator // Inverse Problems in Science and Engineering 2020. — Vol. 28. Issue 9. — P. 1307-1330

2019

• 1 Bondarenko N.P. An inverse problem for an integro-differential pencil with polynomial eigenparameter-dependence in the boundary condition // Analysis and Mathematical Physics 2019. — Vol. 9. Issue 4. — P. 2227-2236
• 2 Bondarenko N.P. An inverse problem for the non-self-adjoint matrix Sturm-Liouville operator // Tamkang Journal of Mathematics 2019. — Vol. 50. Issue 1. — P. 71-102
• 3 Bondarenko N.P., Buterin S.A., Vasiliev S.V. An inverse spectral problem for Sturm–Liouville operators with frozen argument // Journal of Mathematical Analysis and Applications 2019. — Vol. 472. Issue 1. — P. 1028-1041
• 4 Bondarenko Natalia Pavlovna Обратная спектральная задача для пучка интегро-дифференциальных операторов второго порядка // Международная научная конференция "Уфимская осенняя математическая школа". — 2019. — P. 43-45
• 5 Bondarenko N.P. Inverse problem for the differential pencil on an arbitrary graph with partial information given on the coefficients // Analysis and Mathematical Physics 2019. — Vol. 9. Issue 3. — P. 1393-1409
• 6 Hu Y.-T., Bondarenko N.P., Shieh C.-T. etc. Traces and inverse nodal problems for Dirac-type integro-differential operators on a graph // Applied Mathematics and Computation 2019. — Vol. 363.
• 7 Bondarenko N.P. An inverse problem for Sturm-Liouville operators on trees with partial information given on the potentials // MATHEMATICAL METHODS IN THE APPLIED SCIENCES 2019. — Vol. 42. Issue 5. — P. 1512-1528
• 8 Bondarenko N.P. An inverse problem for the integro-differential Dirac system with partial information given on the convolution kernel // Journal of Inverse and Ill-Posed Problems 2019. — Vol. 27. Issue 2. — P. 151-157
• 9 Bondarenko N.P. An inverse problem for the second-order integro-differential pencil // Tamkang Journal of Mathematics 2019. — Vol. 50. Issue 3. — P. 223-231
• 10 Bondarenko N.P. An Inverse Problem for an Integro-Differential Equation with a Convolution Kernel Dependent on the Spectral Parameter // Results in Mathematics 2019. — Vol. 74. Issue 4.
• 11 Bondarenko N.P. Spectral analysis of the matrix Sturm–Liouville operator // Boundary Value Problems 2019. — Vol. 2019. Issue 1.
• 12 Yang C.-F., Bondarenko N.P. A partial inverse problem for the sturm-liouville operator on the lasso-graph // INVERSE PROBLEMS AND IMAGING 2019. — Vol. 13. Issue 1. — P. 69-79

2018

• 1 Bondarenko N.P. A partial inverse problem for the Sturm–Liouville operator on a star-shaped graph // Analysis and Mathematical Physics 2018. — Vol. 8. Issue 1. — P. 155-168
• 2 Bondarenko N.P. A 2-edge partial inverse problemfor the sturm-liouville operatorswith singular potentials on a star-shaped graph // Tamkang Journal of Mathematics 2018. — Vol. 49. Issue 1. — P. 49-66
• 3 Bondarenko N.P., Yang C.-F. Partial Inverse Problems for the Sturm–Liouville Operator on a Star-Shaped Graph with Different Edge Lengths // Results in Mathematics 2018. — Vol. 73. Issue 2.
• 4 Bondarenko N.P. A 2-edge partial inverse problem for the sturm-liouville operators with singular potentials on a star-shaped graph // Tamkang Journal of Mathematics 2018. — Vol. 49. Issue 1. — P. 49-66
• 5 Bondarenko N.P. Partial inverse problems for the Sturm-Liouville operator on a star-shaped graph with mixed boundary conditions // Journal of Inverse and Ill-Posed Problems 2018. — Vol. 26. Issue 1. — P. 1-12
• 6 Bondarenko N.P., Yurko V.A. Partial inverse problems for the sturm-liouville equation with deviating argument // MATHEMATICAL METHODS IN THE APPLIED SCIENCES 2018. — Vol. 41. Issue 17. — P. 8350-8354
• 7 Bondarenko N.P. An inverse problem for an integro-differential operator on a star-shaped graph // MATHEMATICAL METHODS IN THE APPLIED SCIENCES 2018. — Vol. 41. Issue 4. — P. 1697-1702
• 8 Bondarenko N.P. Inverse problems for the matrix Sturm–Liouville equation with a Bessel-type singularity // Applicable Analysis 2018. — Vol. 97. Issue 7. — P. 1209-1222
• 9 Bondarenko N., Yurko V. An inverse problem for Sturm–Liouville differential operators with deviating argument // Applied Mathematics Letters 2018. — Vol. 83. — P. 140-144

2017

• 1 Bondarenko N. Inverse scattering on the line for the matrix Sturm–Liouville equation // Journal of Differential Equations 2017. — Vol. 262. Issue 3. — P. 2073-2105
• 2 Bondarenko N., Shieh C.-T. Partial inverse problems for Sturm-Liouville operators on trees // Proceedings of the Royal Society of Edinburgh Section A: Mathematics 2017. — Vol. 147. Issue 5. — P. 917-933
• 3 Bondarenko N. Matrix Sturm–Liouville equation with a Bessel-type singularity on a finite interval // Analysis and Mathematical Physics 2017. — Vol. 7. Issue 1. — P. 77-92
• 4 Bondarenko N., Buterin S. On Recovering the Dirac Operator with an Integral Delay from the Spectrum // Results in Mathematics 2017. — Vol. 71. Issue 3-4. — P. 1521-1529
• 5 Khan S.A., Skryabina A.S., Bondarenko N.P. Оперативное подземное хранилище гелийсодержащего газа // International Research Journal 2017. — Vol. 55. № 1. Pt. 2. — P. 72-77
• 6 Bondarenko N.P. A Partial Inverse Problem for the Differential Pencil on a Star-Shaped Graph // Results in Mathematics 2017. — Vol. 72. Issue 4. — P. 1933-1942
• 7 Bondarenko N., Buterin S. On a local solvability and stability of the inverse transmission eigenvalue problem // Inverse Problems 2017. — Vol. 33. Issue 11.

2016

• 1 Bondarenko N. Recovery of the matrix quadratic differential pencil from the spectral data // Journal of Inverse and Ill-Posed Problems 2016. — Vol. 24. Issue 3. — P. 245-263

2015

• 1 Bondarenko N. An inverse spectral problem for the matrix Sturm-Liouville operator on the half-line // Boundary Value Problems 2015. — Vol. 2015. Issue 1.
• 2 Bondarenko N. An inverse spectral problem for the matrix sturm-liouville operator with a bessel-type singularity // International Journal of Differential Equations 2015. — Vol. 2015.
• 3 Bondarenko N. Inverse problems for the differential operator on the graph with a cycle with different orders on different edges // Tamkang Journal of Mathematics 2015. — Vol. 46. Issue 3. — P. 229-243

2014

• 1 Bondarenko N.P. Erratum to: “Necessary and Sufficient Conditions for the Solvability of the Inverse Problem for the Matrix Sturm-Liouville Operator”[Functional Analysis and Its Applications, 46, 1, (2012), DOI 10.1007/s10688-012-0006-4.] // Functional Analysis and Its Applications 2014. — Vol. 48. Issue 4. — P. 314
• 2 Bondarenko N., Freiling G. An inverse problem for the quadratic pencil of non-self-adjoint matrix operators on the half-line // Journal of Inverse and Ill-Posed Problems 2014. — Vol. 22. Issue 4. — P. 467-495

2013

• 1 Bondarenko N., Freiling G., Urazboev G. Integration of the matrix KdV equation with self-consistent source // Chaos, Solitons and Fractals 2013. — Vol. 49. Issue 1. — P. 21-27

2012

• 1 Bondarenko N.P. Necessary and sufficient conditions for the solvability of the inverse problem for the matrix Sturm-Liouville operator // Functional Analysis and Its Applications 2012. — Vol. 46. Issue 1. — P. 53-57

2011

• 1 Bondarenko N. Spectral analysis for thematrix Sturm-Liouville operator on a finite interval // Tamkang Journal of Mathematics 2011. — Vol. 42. Issue 3. — P. 305-327