Natalia P. Bondarenko
- Inverse problem solution and spectral data characterization for the\n matrix Sturm-Liouville operator with singular potential
2020/07/14 by Natalia P. Bondarenko, Bondarenko, Natalia P. · 4 citations
Computer Science · Mathematics · #34A55 34B09 34B24 34L40 #FOS: Mathematics #Matrix Theory and Algorithms #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
- Constructive solution of the inverse spectral problem for the matrix\n Sturm-Liouville operator
2020/03/03 by Natalia P. Bondarenko, Bondarenko, Natalia · 2 citations
Mathematics · Computer Science · #Spectral Theory in Mathematical Physics #Matrix Theory and Algorithms #Algebraic and Geometric Analysis
- Direct and inverse problems for the matrix Sturm-Liouville operator with\n the general self-adjoint boundary conditions
2020/06/11 by Natalia P. Bondarenko, Bondarenko, Natalia P. · 3 citations
Computer Science · Mathematics · #34A55 #34B09 #34B24 #34B45 #34L10 #34L20 #34L40 #FOS: Mathematics #Matrix Theory and Algorithms #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
- Spectral data asymptotics for the higher-order differential operators with distribution coefficients
2022/08/27 by Natalia P. Bondarenko, Bondarenko, Natalia P. · 2 citations
Computer Science · Mathematics · #34L20 34B09 34B05 34E05 34A55 46F10 #Advanced Mathematical Modeling in Engineering #Differential Equations and Boundary Problems #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory (math.SP)
- Solving the inverse Sturm-Liouville problem with singular potential and with polynomials in the boundary conditions
2023/05/02 by Egor E. Chitorkin, Natalia P. Bondarenko, Chitorkin, Egor E. +1 · 1 citation
Mathematics · #Differential Equations and Boundary Problems #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
- Local solvability and stability of an inverse spectral problem for higher-order differential operators
2023/08/10 by Natalia P. Bondarenko, Bondarenko, Natalia P. · 1 citation
Computer Science · Mathematics · #34A55 34B09 34B40 34L05 46F10 #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
- Partial inverse problems for quadratic differential pencils on a graph\n with a loop
2018/06/10 by Natalia P. Bondarenko, Chung‐Tsun Shieh, Bondarenko, Natalia P. +1 · 2 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
- Inverse spectral problem for the Schrödinger operator on the square lattice
2023/06/23 by D yu Wu, Wu, Dongjie, Chuan‐Fu Yang +3 · 1 citation
Mathematics · #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics #advanced mathematical theories