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A vectorial inverse nodal problem [PDF]
Proceedings of the American Mathematical Society, 2004 Consider the vectorial Sturm-Liouville problem: \[ {
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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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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Remarks on a New Inverse Nodal Problem
Journal of Mathematical Analysis and Applications, 2000 The authors weaken the conditions and simplify the proof of a theorem of \textit{X. F. Yang} [A new inverse nodal problem, J. Differ. Equations (to appear)]. It is known that the usual nodal inverse problem developed by \textit{J. R. McLaughlin} [J. Differ. Equations, 73, No. 2, 354-362 (1988; Zbl 0652.34029)] is overdetermined.
Cheng, Yan-Hsiou +2 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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The Inverse Nodal problem for the fractional diffusion equation
Acta Scientiarum: Technology, 2015 In this paper, on a general finite interval, the inverse problem of recovering the potential function for a fractional diffusion equation with new spectral parameter, called the nodal point, is given.
Erdal Bas
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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 problem for a conformable fractional diffusion operator [PDF]
Inverse Problems in Science and Engineering, 2020 In this paper, a diffusion operator including conformable fractional derivatives of order α (α in (0,1)) is considered. The asymptotics of the eigenvalues, eigenfunctions and nodal points of the operator are obtained. Furthermore, an effective procedure for solving the inverse nodal problem is given.
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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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