Results 21 to 30 of about 3,998 (168)
Reconstruction of the Volterra-type integro-differential operator from nodal points
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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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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Inverse nodal and inverse spectral problems for discontinuous boundary value problems
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Shieh, Chung-tsun, Yurko, V. A.
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On the inverse nodal problems for discontinuous Sturm–Liouville operators
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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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 problems: Dense nodal subset on an interior subinterval
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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A two‐dimensional multiscale finite element analysis framework was established for the first‐generation MoSiBTiC alloy, and the mechanical and fracture‐related parameters of the constituent phases were calibrated through experiments and simulations. The framework provides a basis for analyzing crack propagation behavior in its complex microstructure ...
Junfeng Du +4 more
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3D Printing Innovations in Polymeric Porous and Patterned Architecture
Polymeric foams occupy a unique structural space between dense solids and open networks, where engineered void fraction governs mechanical compliance, thermal resistance, and mass transport. Additive manufacturing now enables precise spatial control over cellular architecture, unlocking designer foam structures across applications spanning crash ...
Dhanush Patil +13 more
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Hard‐Magnetic Soft Millirobots in Underactuated Systems
This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang +4 more
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