Results 11 to 20 of about 55,286 (228)
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.
David Klawonn
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A uniqueness theorem for inverse nodal problem [PDF]
Inverse Problems in Science and Engineering, 2006 In this article, it is found that the asymptotic formulas for nodal points and nodal length for the differential operators having singularity type at the points 0 and π, it is shown that the potential function can be determined from the positions of the nodes for the eigenfunctions.
Hikmet Koyunbakan, Etibar S. Panakhov
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Inverse nodal problem for nonlocal differential operators
Tamkang Journal of Mathematics, 2019 Inverse nodal problem consists in constructing operators from the given zeros of their eigenfunctions. The problem of differential operators with nonlocal boundary condition appears, e.g., in scattering theory, diffusion processes and the other applicable fields.
Xin-Jian Xu, Chuan‐Fu Yang
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Inverse nodal problems for perturbed spherical schrödinger operators [PDF]
Analysis and Mathematical Physics, 2023 The authors examine the inverse nodal problem of identifying \(q\in L^{2}(0,1)\), associated with the singular Sturm-Liouville problem \[ L(\ell,q):=\left(-\dfrac{d^2}{dx^{2}}+\dfrac{\ell(\ell+1)}{x^{2}}+q(x)\right) \text{ for ...
Yu Liu, Guoliang Shi, Jun Yan
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A vectorial inverse nodal problem [PDF]
Proceedings of the American Mathematical Society, 2004 Consider the vectorial Sturm-Liouville problem: \[ { − y ( x ) + P ( x ) y
Cheng, Yan-Hsiou +2 more
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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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NeuroImage, 2021 The course of attention deficit hyperactivity disorder (ADHD) from adolescence into adulthood shows large variations between individuals; nonetheless determinants of interindividual differences in the course are not well understood. A frequent problem in
Tammo Viering +10 more
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Inverse Nodal Problem for Sturm- Liouville Boundary Value Problem
Iğdır Üniversitesi Fen Bilimleri Enstitüsü DergisiInverse nodal problems has been studied for Sturm-Liouville equations with point δ coaction. First, the eigenvalues of the problem are obtained. Then, the solution of the inverse problem is given by obtaining potential function and the parameters in the boundary conditions with the help of a dense set of nodal points.
Merve Arslantaş
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Computation of forces from deformed visco-elastic biological tissues [PDF]
, 2018 We present a least-squares based inverse analysis of visco-elastic biological tissues. The proposed method computes the set of contractile forces (dipoles) at the cell boundaries that induce the observed and quantified deformations.
Amat Olóndriz, David +2 more
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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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