Results 21 to 30 of about 17,806 (305)
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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Inverse Spectral Problems in Rectangular Domains [PDF]
Communications in Partial Differential Equations, 2007 We consider the Schrodinger operator in n-dimensional rectangular domains with either Dirichlet or Neumann boundary conditions on the faces and study the constraints on the potential imposed by fixing the spectrum of the operator.We study also the asymptotics of the heat kernel when t tends to 0.
Eskin, Gregory, Ralston, James
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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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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 +2 more
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Survey on the Inverse Spectral Problem [PDF]
Notices of the International Congress of Chinese Mathematicians, 2014 This is a survey of the inverse spectral problem on (mainly compact) Riemannian manifolds, with or without boundary. The emphasis is on wave invariants: on how wave invariants have been calculated and how they have been applied to concrete inverse spectral problems.
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Approximation of Bayesian inverse problems for PDEs [PDF]
, 2010 Inverse problems are often ill posed, with solutions that depend sensitively on data. In any numerical approach to the solution of such problems, regularization of some form is needed to counteract the resulting instability.
Dashti, Massoumeh +7 more
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