Results 41 to 50 of about 15,028 (168)

Riemann–Hilbert Problems and Soliton Solutions of Type (${\lambda }^{\ast }$, $-{\lambda }^{\ast }$) Reduced Nonlocal Integrable mKdV Hierarchies

Mathematics, 2022
Reduced nonlocal matrix integrable modified Korteweg–de Vries (mKdV) hierarchies are presented via taking two transpose-type group reductions in the matrix Ablowitz–Kaup–Newell–Segur (AKNS) spectral problems.
Wen-Xiu Ma
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Inverse problems in spectral geometry

, 2011
In this survey we review positive inverse spectral and inverse resonant results for the following kinds of problems: Laplacians on bounded domains, Laplace-Beltrami operators on compact manifolds, Schr dinger operators, Laplacians on exterior domains, and Laplacians on manifolds which are hyperbolic near infinity.
Datchev, Kiril, Hezari, Hamid
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Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians

Symmetry, Integrability and Geometry: Methods and Applications, 2009
In this paper, the concept of generalized spectral function is introduced for finite-order tridiagonal symmetric matrices (Jacobi matrices) with complex entries.
Gusein Sh. Guseinov
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Diophantine tori and non-selfadjoint inverse spectral problems [PDF]

Mathematical Research Letters, 2013
We study a semiclassical inverse spectral problem based on a spectral asymptotics result of arXiv:math/0502032, which applies to small non-selfadjoint perturbations of selfadjoint $h$-pseudodifferential operators in dimension 2. The eigenvalues in a suitable complex window have an expansion in terms of a quantum Birkhoff normal form for the operator ...
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Double Discontinuous Inverse Problems for Sturm-Liouville Operator with Parameter-Dependent Conditions

Abstract and Applied Analysis, 2013
The purpose of this paper is to solve the inverse spectral problems for Sturm-Liouville operator with boundary conditions depending on spectral parameter and double discontinuities inside the interval.
A. S. Ozkan, B. Keskin, Y. Cakmak
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Inverse nodal and inverse spectral problems for discontinuous boundary value problems

Journal of Mathematical Analysis and Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shieh, Chung-tsun, Yurko, V. A.
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A New Inverse Eigenvalue Problem for Jacobi Matrices and Corresponding Mass-Spring System

پژوهش‌های ریاضی, 2020
Introduction Many problems in sciences and engineering can be studied by mathematical models. These models are classified as direct problems and inverse problems.
Hanif Mirzaei
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Inverse spectral and inverse nodal problems for energy-dependent Sturm-Liouville equations with delta-interaction

Electronic Journal of Differential Equations, 2015
In this article, we study the inverse spectral and inverse nodal problems for energy-dependent Sturm-Liouville equations with delta-interaction. We obtain uniqueness, reconstruction and stability using the nodal set of eigenfunctions for the given ...
Manaf Dzh. Manafov, Abdullah Kablan
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Mixed spectral AKNS hierarchy from linear isospectral problem and its exact solutions

Open Physics, 2015
In this paper, the AKNS isospectral problem and its corresponding time evolution are generalized by embedding three coefficient functions. Starting from the generalizedAKNS isospectral problem, a mixed spectralAKNS hierarchy with variable coefficients is
Zhang Sheng, Gao Xu-Dong
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Uniqueness of the potential function for the vectorial Sturm-Liouville equation on a finite interval

Boundary Value Problems, 2011
In this paper, the vectorial Sturm-Liouville operator L Q = - d 2 d x 2 + Q ( x ) is considered, where Q(x) is an integrable m × m matrix-valued function defined on the interval [0,π] The authors prove that m ...
Chang Tsorng-Hwa, Shieh Chung-Tsun
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