Results 1 to 10 of about 267,596 (283)

Inverse Spectral Problems for Arbitrary-Order Differential Operators with Distribution Coefficients

Mathematics, 2021
In this paper, we propose an approach to inverse spectral problems for the n-th order (n≥2) ordinary differential operators with distribution coefficients.
Natalia P. Bondarenko
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Regularization and Inverse Spectral Problems for Differential Operators with Distribution Coefficients

Mathematics, 2023
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.
Natalia P. Bondarenko
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Partial Inverse Sturm-Liouville Problems

Mathematics, 2023
This paper presents a review of both classical and modern results pertaining to partial inverse spectral problems for differential operators. Such problems consist in the recovery of differential expression coefficients in some part of the domain (a ...
Natalia P. Bondarenko
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Differential operators on graphs with a cycle [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021
An inverse problem of spectral analysis is studied for Sturm – Liouville differential operators on a graph with a cycle. We pay the main attention to the most important nonlinear  inverse problem of recovering coefficients of differential ...
Yurko, Vyacheslav Anatol'evich
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An Inverse Spectral Problem for Sturm – Liouville Operators with Singular Potentials on Graphs with a Cycle [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2019
This paper is devoted to the solution of inverse spectral problems for Sturm – Liouville operators with singular potentials from class W2−1 on graphs with a cycle.
Vasilev, Sergei V.
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Inverse Sturm–Liouville Problem with Spectral Parameter in the Boundary Conditions

Mathematics, 2023
In this paper, for the first time, we study the inverse Sturm–Liouville problem with polynomials of the spectral parameter in the first boundary condition and with entire analytic functions in the second one.
Natalia P. Bondarenko, Egor E. Chitorkin
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Inverse Conformable Sturm-Liouville Problems with a Transmission and Eigen-Parameter Dependent Boundary Conditions [PDF]

Sahand Communications in Mathematical Analysis, 2023
In this paper, we provide a different  uniqueness results for inverse spectral problems of conformable fractional Sturm-Liouville operators of order $\alpha$ ($0 < \alpha\leq  1$), with  a  jump and eigen-parameter dependent boundary conditions. Further,
Mohammad Shahriari, Reza Akbari
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On Recovering Differential Operators on a Closed Set from Spectra [PDF]

Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2019
The Sturm – Liouville differential operators on closed sets of the real line are considered. Properties of their spectral characteristics are obtained and the inverse problem of recovering the operators from their spectra is studied. An algorithm for the
Yurko, Vyacheslav Anatol'evich
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Spectral asymptotics for inverse nonlinear Sturm-Liouville problems

Electronic Journal of Qualitative Theory of Differential Equations, 2009
We consider the nonlinear Sturm-Liouville problem $$ -u''(t) + f(u(t), u'(t)) = \lambda u(t), \quad u(t) > 0, \quad t \in I := (-1/2, 1/2), \quad u(\pm 1/2) = 0, $$ where $f(x, y) = \vert x\vert^{p-1}x - \vert y\vert^m$, $p > 1, 1 \le m < 2$ are ...
Tetsutaro Shibata
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Inverse problems for Sturm–Liouville differential operators with two constant delays under Robin boundary conditions

Results in Applied Mathematics, 2020
This paper deals with non-self-adjoint second-order differential operators with two constant delays from [π∕2,π)and two potentials from L20,π.
Biljana Vojvodic, Milenko Pikula, Vladimir Vladicic   +2 more
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