Results 21 to 30 of about 6,004,549 (201)
Inverse Dirichlet-to-Neumann problem for nodal curves [PDF]
Russian Mathematical Surveys, 2012 This paper proposes direct and inverse results for the Dirichlet and Dirichlet to Neumann problems for complex curves with nodal type singularities. As an application, we give a method to reconstruct the conformal structure of a compact surface of the standard three dimensional euclidean space with constant scalar conductivity from electrical current ...
Henkin, Gennadi, Michel, Vincent
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Medicine in Novel Technology and Devices, 2022 Characterizing nonhomogeneous elastic property distribution of soft tissues plays a crucial role in disease diagnosis and treatment. In this paper, we will apply the optical coherence elastography to reconstruct the shear modulus elastic property ...
Dongmei Zhao +6 more
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Inverse nodal problem for singular Sturm–Liouville operator on a star graph
, 2023 In this study, singular Sturm-Liouville operators on a star graph with edges are investigated. First, the behavior of sufficiently large eigenvalues is learned.
Amirov, Rauf +5 more
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Fractal and Fractional, 2022 This paper proposes a three–dimensional (3D) local boundary element model based on meshless moving least squares (MLS) method for ultrasonic wave propagation fractional order boundary value problems of functionally graded anisotropic (FGA) fiber ...
Mohamed Abdelsabour Fahmy
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Solution of the inverse problem for Bessel operator on an interval [1,a] $[ 1,a ]$
Journal of Inequalities and Applications, 2018 In this note, we solve the inverse nodal problem for Bessel-type p-Laplacian problem −(y′(p−1))′=(p−1)(λ−ω(x))y(p−1),1≤x≤a,y(1)=y(a)=0, $$\begin{aligned}& - \bigl( y^{{\prime} (p-1)} \bigr) ^{\prime} = ( p-1 ) \bigl( \lambda- \omega(x) \bigr) y^{(p-1 ...
Mesut Coskun +2 more
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Inverse nodal problems for Dirac operators and their numerical approximations
Electronic Journal of Differential Equations, 2023 In this article, we consider an inverse nodal problem of Dirac operators and obtain approximate solution and its convergence based on the second kind Chebyshev wavelet and Bernstein methods. We establish a uniqueness theorem of this problem from parts of
Fei Song +2 more
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Boundary Value Problems, 2018 Inverse nodal problems for Sturm–Liouville equations associated with boundary conditions polynomially dependent on the spectral parameter are studied. The authors show that a twin-dense subset WB([a,b]) $W_{B}([a,b])$ can uniquely determine the operator ...
Yu Ping Wang +2 more
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Reconstruction of the Volterra-type integro-differential operator from nodal points
Boundary Value Problems, 2018 In this work, the Sturm–Liouville problem perturbated by a Volterra-type integro-differential operator is studied. We give a uniqueness theorem and an algorithm to reconstruct the potential of the problem from nodal points (zeros of eigenfunctions).
Baki Keskin
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Journal of Physics A: Mathematical and Theoretical, 2009 It is shown that nodal sequences determine the underlying manifold up to scaling within classes of rectangles with Dirichlet boundary conditions, separable two dimensional tori, two-dimensional flat Klein bottles and flat tori in two and three dimensions.
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Symmetry of Nodal Solutions for Singularly Perturbed Elliptic Problems on a Ball [PDF]
, 2004 In [40], it was shown that the following singularly perturbed Dirichlet problem \ep^2 \Delta u - u+ |u|^{p-1} u=0, \ \mbox{in} \ \Om,\] \[ u=0 \ \mbox{on} \ \partial \Om has a nodal solution u_\ep which has the least energy among all nodal solutions.
Winter, M +5 more
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