Results 11 to 20 of about 48,684 (167)
Inverse nodal and inverse spectral problems for discontinuous boundary value problems
Journal of Mathematical Analysis and Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shieh, Chung-tsun, Yurko, V. A.
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Inverse nodal problem for differential pencils
Applied Mathematics Letters, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Buterin, S.A., Shieh, Chung Tsun
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Incomplete inverse spectral and nodal problems for differential pencils [PDF]
Results in Mathematics, 2011 [[abstract]]We prove uniqueness theorems for so-called half inverse spectral problem (and also for some its modification) for second order differential pencils on a finite interval with Robin boundary conditions.
C.-F. Yang +25 more
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Inverse problems: Dense nodal subset on an interior subinterval
Journal of Differential Equations, 2013 The authors consider the inverse nodal problem for the Sturm-Liouville equations defined on the interval \([0,1]\) with separated boundary conditions. They prove that a twin dense subset of the nodal set in an interior subinterval uniquely determines the potential on the whole interval and the boundary condition parameters.
Guo, Yongxia, Wei, Guangsheng
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On the inverse nodal problems for discontinuous Sturm–Liouville operators
Journal of Differential Equations, 2016 Recently, a new class of inverse problem so-called inverse nodal problems has attracted the attention of researchers. Inverse nodal problems, in turn, consist in constructing operators from given zeros of their eigenfunctions. In this paper, the authors consider an inverse nodal problem for Sturm Liouville operator with jump condition at the point \(x ...
Wang, Yu Ping, Yurko, V. A.
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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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Inverse nodal problems for perturbed spherical Schrödinger operators
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 ...
Liu, Yu +3 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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Inverse modelling of image-based patient-specific blood vessels : zero-pressure geometry and in vivo stress incorporation [PDF]
, 2013 In vivo visualization of cardiovascular structures is possible using medical images. However, one has to realize that the resulting 3D geometries correspond to in vivo conditions.
Bols, Joris +5 more
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