Neural network approach for solving nonlinear eigenvalue problems of structural dynamics
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DOI: 10.1007/s00521-019-04600-3
Abstract: This article introduces a novel connectionist approach for dynamic analysis of structural problem. In general, dynamic analysis of structures leads to eigenvalue problems. Sometimes these eigenvalue problems may be nonlinear eigenvalue problem, which may be… read more here.
Keywords: nonlinear eigenvalue; neural network; eigenvalue problems; approach ... See more keywords
Asymptotic analysis of a nonlinear eigenvalue problem arising in electromagnetics
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DOI: 10.1088/1361-6544/ab7d1f
Abstract: An eigenvalue problem for Maxwell's equations with anisotropic cubic nonlinearity is studied. The problem describes propagation of transverse magnetic waves in a dielectric layer filled with (nonlinear) anisotropic Kerr medium. The nonlinearity involves two non-negative… read more here.
Keywords: nonlinear eigenvalue; finite number; eigenvalue problem; number solutions ... See more keywords
Continuous nonlinear eigenvalue solver with applications to the design of electro/magnetorheological sandwich structures
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DOI: 10.1088/1361-665x/ab2e87
Abstract: Smart sandwich structures comprising an electro- or a magnetorheological material have the potential to attenuate vibration over a wide range of frequencies. The analysis of their vibration behaviour with respect to the continuous variation of… read more here.
Keywords: sandwich structures; continuous nonlinear; electro magnetorheological; nonlinear eigenvalue ... See more keywords
Nonlinear Eigenvalue Problems for the Dirichlet (p, 2)-Laplacian
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DOI: 10.3390/axioms11020058
Abstract: We consider a nonlinear eigenvalue problem driven by the Dirichlet (p,2)-Laplacian. The parametric reaction is a Carathéodory function which exhibits (p−1)-sublinear growth as x→+∞ and as x→0+. Using variational tools and truncation and comparison techniques,… read more here.
Keywords: dirichlet laplacian; problems dirichlet; eigenvalue problems; nonlinear eigenvalue ... See more keywords