N. Bondarenko

collaborators

Showing math.SPShow all

3 papers · 1 filter

math.SP2025

Borg-type theorem for a class of higher-order differential operators

Ai-Wei Guan, Dong-Jie Wu, Chuan-Fu Yang +1

In this paper, we study an inverse spectral operator for the higher-order differential equation $(- 1)^{m} y^{(2 m)} + q y = I^» y$ , where $q \in L^{2} (0, I ¨ )$ . We prove that if $∥ q ∥_{2}$ is…

math.SP2024

Borg-type theorem for a class of fourth-order differential operators

Ai-Wei Guan, Chuan-Fu Yang, Natalia P. Bondarenko

In this paper, we study an inverse spectral problem for the fourth-order differential equation $y^{(4)} - (p y^{'})^{'} + q y = I^» y$ with real-valued coefficients $p$ and $q$ of $L^2(0,1…

math.SP2024

On the local solvability and stability of the partial inverse problems for the non-self-adjoint Sturm-Liouville operators with a discontinuity

Xiao-Chuan Xu, Chuan-Fu Yang, Natalia Pavlovna Bondarenko

In this work, we study the inverse spectral problems for the Sturm-Liouville operators on [0,1] with complex coefficients and a discontinuity at $x = a \in (0, 1)$ . Assume that the pote…