Results 31 to 40 of about 267,596 (283)

Nonlocal PT-symmetric integrable equations and related Riemann–Hilbert problems

Partial Differential Equations in Applied Mathematics, 2021
We aim to discuss about how to construct and classify nonlocal PT-symmetric integrable equations via nonlocal group reductions of matrix spectral problems.
Wen-Xiu Ma
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Inverse spectral problem of a class of fourth-order eigenparameter-dependent boundary value problems

Advances in Difference Equations, 2020
This paper deals with a class of inverse spectral problems of fourth-order boundary value problems with eigenparameter-dependent boundary conditions.
Ji-jun Ao, Liang Zhang
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Two inverse spectral problems for a class of singular Krein strings

, 2013
We solve the inverse problem from the spectral measure and the inverse three-spectra problem for the class of singular Krein strings on a finite interval with trace class resolvents.
Eckhardt, Jonathan
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Uniqueness Theorems for Sturm-Liouville Operator with Parameter Dependent Boundary Conditions and Finite Number Of Transmission Conditions

Cumhuriyet Science Journal, 2017
In this paper, we prove some uniqueness theorems forthe solution of inverse spectral problems of Sturm–Liouville operators withboundary conditions depending linearly on the spectral parameter and with afinite number of transmission conditions.
Yaşar Çakmak, Baki Keskin
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Deep learning-enabled Inference of 3D molecular absorption distribution of biological cells from IR spectra

Communications Chemistry, 2022
Infrared spectroscopy-based diffraction tomography has a high potential to be used for 3D reconstruction of intact samples, however, the inverse problem is highly non-linear and remains challenging.
Eirik Almklov Magnussen, Boris Zimmermann, Uladzislau Blazhko, Simona Dzurendova, Benjamin Dupuy–Galet, Dana Byrtusova, Florian Muthreich, Valeria Tafintseva, Kristian Hovde Liland, Kristin Tøndel, Volha Shapaval, Achim Kohler   +11 more
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Inverse spectral problems for energy-dependent Sturm-Liouville equations

, 2012
We study the inverse spectral problem of reconstructing energy-dependent Sturm-Liouville equations from their Dirichlet spectra and sequences of the norming constants.
Ablowitz M J, Adamjan V, Albeverio S, Albeverio S, Albeverio S, Engel K-J, Gasymov M G, Gasymov M G, Gel'fand I, Gohberg I, Gohberg I C, Gusei˘nov G S, Gusei˘nov I M, Hryniv R O, Hryniv R O, Jaulent M, Jaulent M, Jaulent M, Jonas P, Kamimura Y, Kappeler T, Kato T, Levitan B M, Maksudov F G, Maksudov F G, Markus A S, Nabiev A A, Nabiev A A, Nabiev I M, Nabiev I M, Nataliya Pronska, Pronska N, Pronska N, Pronska N, Riesz F, Rostyslav Hryniv, Sattinger D H, Savchuk A M, Savchuk A M, Savchuk A M, Savchuk A M, Serier F, Yamamoto M   +42 more
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Quantum transfer matrices for discrete and continuous quasi-exactly solvable problems [PDF]

, 1994
We clarify the algebraic structure of continuous and discrete quasi-exactly solvable spectral problems by embedding them into the framework of the quantum inverse scattering method.
A. Erdelyi, A. Turbiner, A. Ushveridze, A. V. Zabrodin, B. Jurco, E. K. Sklyanin, E. K. Sklyanin, E. K. Sklyanin, I. Cherednik, J. Patera, J. Zak, L. D. Faddeev, L. Vaksman, M. A. Shifman, M. Jimbo, N. Yu. Reshetikhin, O. B. Zaslavsky, P. Kulish, P. Roche, P. Wiegmann, P. Wiegmann, P. Winternitz, T. Koornwinder, V. Bazhanov, V. G. Drinfeld, V. Kuznetsov, Y. Alhassid, Y. Soibelman   +27 more
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Inverse spectral problems for Dirac operators with summable matrix-valued potentials

, 2012
We consider the direct and inverse spectral problems for Dirac operators on $(0,1)$ with matrix-valued potentials whose entries belong to $L_p(0,1)$, $p\in[1,\infty)$.
A. Sakhnovich, A. Sakhnovich, B. Thaller, B.M. Levitan, D. Alpay, D. Chelkak, D. Chelkak, D. V. Puyda, F. Gesztesy, F. Gesztesy, F. Gesztesy, I. Gokhberg, M. Lesch, M.G. Gasymov, M.G. Gasymov, M.M. Malamud, M.M. Malamud, N. Trush, N. Trush, P. Kuchment, R.O. Hryniv, S. Albeverio, S. Clark, V.A. Marchenko, V.A. Sadovnichiy, Ya.V. Mykytyuk, Ya.V. Mykytyuk, Ya.V. Mykytyuk, Ya.V. Mykytyuk   +28 more
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On Solvability of Some Inverse Problems for a Fractional Parabolic Equation with a Nonlocal Biharmonic Operator

Fractal and Fractional, 2023
The paper considers the solvability of some inverse problems for fractional differential equations with a nonlocal biharmonic operator, which is introduced with the help of involutive transformations in two space variables.
Moldir Muratbekova, Bakhtiyar Kadirkulov, Maira Koshanova, Batirkhan Turmetov   +3 more
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The Zakharov-Shabat spectral problem on the semi-line: Hilbert formulation and applications

, 2001
The inverse spectral transform for the Zakharov-Shabat equation on the semi-line is reconsidered as a Hilbert problem. The boundary data induce an essential singularity at large k to one of the basic solutions.
A Spire, Ablowitz M J, Belokolos E D, Bibikov P N, Bikbaev R F, Bikbaev R F, Boiti M, Boiti M, Boutet de Monvel A, Doktorov E V, Doktorov E V, Fokas A S, Hugot F-X, Hugot F-X, Iliev I D, J Leon, Levitan B M, Mushkhelishvili N I, Pelloni B, Sakhnovich L A, Sakhnovich L A, Sklyanin E K, Takhtadzhyan L A, Zakharov V E   +23 more
core   +3 more sources