Results 21 to 30 of about 3,079 (159)
Inverse Dirichlet-to-Neumann problem for nodal curves [PDF]
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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Remarks on a New Inverse Nodal Problem
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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In this work, we study the inverse nodal problemfor Dirac type integro-differential operator with the boundary conditionsdependent spectral parameter polynomially.
Baki Keskin, Hediye Dilara Tel
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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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An inverse analysis of local inflows in tidal river networks
The local inflow is an important factor affecting the accuracy of hydrodynamic models,but its value is difficult to determine and quantify in real-world applications.From the viewpoint of inverse problems,a method is proposed to determine the local ...
LI Guangchi, QIAN Zhen
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Inverse nodal problem for a conformable fractional diffusion operator [PDF]
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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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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On Inverse Nodal Problem and Multiplicities of Eigenvalues of a Vectorial Sturm-Liouville Problem [PDF]
An m-dimensional vectorial inverse nodal Sturm-Liouville problem with eigenparameter-dependent boundary conditions is studied. We show that if there exists an infinite sequence ynj,rx,λnj,r2j=1∞ of eigenfunctions which are all vectorial functions of type (CZ), then the potential matrix Qx and A are simultaneously diagonalizable by the same unitary ...
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Finite Element Method on Shape Memory Alloy Structure and Its Applications
It is significant to numerically investigate thermo-mechanical behaviors of shape memory alloy (SMA) structures undergoing large and uneven deformation for they are used in many engineering fields to meet special requirements.
Bo Zhou +3 more
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