A Kostenko, M Malamud - Spectral Analysis, Integrable Systems …, 2013 - books.google.com
We review recent developments in the theory of 1-D Schrödinger operators with local point interactions on a discrete set. The progress in this area was stimulated by recent advances …
NP Bondarenko - Mathematical Methods in the Applied …, 2023 - Wiley Online Library
In this paper, the linear differential expression of order n≥ 2 n ≥ 2 with distribution coefficients of various singularity orders is considered. We obtain the associated matrix for …
This paper is concerned with inverse spectral problems for higher-order (n> 2) ordinary differential operators. We develop an approach to the reconstruction from the spectral data …
In this paper, we propose an approach to inverse spectral problems for the n-th order (n≥ 2) ordinary differential operators with distribution coefficients. The inverse problems which …
In this paper, we consider a class of matrix functions that contains regularization matrices of Mirzoev and Shkalikov for differential operators with distribution coefficients of order n≥ 2 …
In this paper, we, for the first time, prove the local solvability and stability of an inverse spectral problem for higher-order (n> 3) differential operators with distribution coefficients …
M Kuznetsova - Mathematical Methods in the Applied Sciences, 2023 - Wiley Online Library
The paper deals with a new type of inverse spectral problems for second‐order quadratic differential pencils when one of the boundary conditions involves arbitrary entire functions of …
We develop the machinery of boundary triplets for one-dimensional operators generated by formally self-adjoint quasi-differential expression of arbitrary order on a finite interval. The …
We discuss inverse spectral theory for singular differential operators on arbitrary intervals $(a, b)\subseteq\mathbb {R} $ associated with rather general differential expressions of the …