Results 61 to 70 of about 15,028 (168)

Inverse spectral problems in riemannian geometry [PDF]

, 2008
Over twenty years ago, Marc Kac posed what is arguably one of the simplest inverse problems in pure mathematics: "Can one hear the shape of a drum?" [19]. Mathematically, the question is formulated as follows. Let /2 be a simply connected, plane domain (the drumhead) bounded by a smooth curve 7, and consider the wave equation on /2 with Dirichlet ...
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Inverse Sturm-Liouville problems with a Spectral Parameter in the Boundary and transmission conditions [PDF]

Sahand Communications in Mathematical Analysis, 2016
In this manuscript, we study the inverse problem for non self-adjoint Sturm--Liouville operator $-D^2+q$ with eigenparameter dependent boundary and discontinuity conditions inside a finite closed interval.
Mohammad Shahriari
doaj  

On Recovering Sturm--Liouville-Type Operator with Delay and Jump Conditions [PDF]

Sahand Communications in Mathematical Analysis
In this manuscript, the second order differential operators with constant delay and transmission boundary conditions are studied. The asymptotic forms of the characteristic functions and eigenvalues  of the operators are obtained.
Mohammad Shahriari, Vladimir Vladicic
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Numerical Methods for Partial Inverse Spectral Problems with Frozen Arguments on Star-Shaped Graphs

Mathematics
In this paper, the authors investigate a partial inverse spectral problem for Sturm–Liouville operators with frozen arguments on star-shaped graphs. The problem is to reconstruct the potential on one edge from the known potentials on the other edges ...
Chung-Tsun Shieh, Tzong-Mo Tsai, Jyh-Shyang Wu   +2 more
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Application of Hierarchical Two-Level Spectral Preconditioning Method for Electromagnetic Scattering from the Rough Surface

International Journal of Antennas and Propagation, 2014
The higher-order hierarchical Legendre basis functions combining the electrical field integral equations (EFIE) are developed to solve the scattering problems from the rough surface. The hierarchical two-level spectral preconditioning method is developed
D. Z. Ding, G. M. Li, Y. Y. An, R. S. Chen   +3 more
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Inverse Uniqueness in Interior Transmission Problem and Its Eigenvalue Tunneling in Simple Domain

Advances in Mathematical Physics, 2016
We study inverse uniqueness with a knowledge of spectral data of an interior transmission problem in a penetrable simple domain. We expand the solution in a series of one-dimensional problems in the far-fields.
Lung-Hui Chen
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Spectral Data Asymptotics for Fourth-Order Boundary Value Problems

Известия Иркутского государственного университета: Серия "Математика"
In this paper, we derive sharp asymptotics for the spectral data (eigenvalues and weight numbers) of the fourth-order linear differential equation with a distribution coefficient and three types of separated boundary conditions.
N. P. Bondarenko
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On a new inverse spectral problem

, 1998
AmSTeX, version 2.1, 8 pages, amsppt ...
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Inverse problems for Sturm-Liouville operators with boundary conditions depending on a spectral parameter

Electronic Journal of Differential Equations, 2017
In this article, we study the inverse problem for Sturm-Liouville operators with boundary conditions dependent on the spectral parameter. We show that the potential q(x) and coefficient $\frac{a_1\lambda +b_1}{c_1\lambda +d_1}$ functions can be ...
Murat Sat
doaj  

INVERSE SPECTRAL PROBLEM [PDF]

Theoretical & Applied Science, 2018
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