Results 21 to 30 of about 130,152 (295)
Fourth-order Perturbed Eigenvalue Equation for Stepwise Damage Detection of Aeroplane Wing
MATEC Web of Conferences, 2016 Perturbed eigenvalue equations up to fourth-order are established to detect structural damage in aeroplane wing. Complete set of perturbation terms including orthogonal and non-orthogonal coefficients are computed using perturbed eigenvalue and ...
Wong Chun Nam +3 more
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Perturbation Methods for the Eigencharacteristics of Symmetric and Asymmetric Systems
Shock and Vibration, 2018 Dynamic analysis for a vibratory system typically begins with an evaluation of its eigencharacteristics. However, when design changes are introduced, the eigensolutions of the system change and thus must be recomputed.
Philip D. Cha, Austin Shin
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Perturbations of symmetric eigenvalue problems
Applied Mathematics Letters, 2002 The paper is concerned with the existence of multiple solutions \((u,\lambda)\in H^1_0(\Omega)\times\mathbb{R}\) of the elliptic eigenvalue problem \[ -\Delta u= \lambda(f(x,u)+\varepsilon g(x,u))\text{ in }\Omega,\;u|_{\partial\Omega}= 0,\;\int_\Omega|\nabla u|^2 dx=r^2,\tag{1} \] where \(f\) and \(g\) are continuous functions from \(\overline\Omega ...
Yongqing Li, Zhaoli Liu
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The Fréchet Derivative of an Analytic Function of a Bounded Operator with Some Applications
International Journal of Mathematics and Mathematical Sciences, 2009 The main result in this paper is the determination of the Fréchet derivative of an analytic function of a bounded operator, tangentially to the space of all bounded operators. Some applied problems from statistics and numerical analysis are included as a
D. S. Gilliam +3 more
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Perturbation theory for plasmonic eigenvalues [PDF]
Physical Review B, 2009 We develop a perturbative approach for calculating, within the quasistatic approximation, the shift of surface resonances in response to a deformation of a dielectric volume. Our strategy is based on the conversion of the homogeneous system for the potential which determines the plasmonic eigenvalues into an inhomogeneous system for the potential's ...
Svend-Age Biehs +5 more
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Closed form bound-state perturbation theory
International Journal of Mathematics and Mathematical Sciences, 1980 The perturbed Schrödinger eigenvalue problem for bound states is cast into integral form using Green's Functions. A systematic algorithm is developed and applied to the resulting equation giving rise to approximate solutions expressed as functions of the
Ollie J. Rose, Carl G. Adler
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A Note on Certain Classes of Retro Banach Frames [PDF]
Sahand Communications in Mathematical Analysis, 2023 A new class of retro Banach frames called retro bi-Banach frame has been introduced and studied with illustrative examples. Relationships of a retro bi-Banach frame with various existing classes of Banach frame are presented.
Mayur Goswami
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Principal Eigenvalues and Perturbation
, 1995 In a classical article, Hess and Kato [HK] study the problem $$\left\{ {\begin{array}{*{20}{c}} {Au + \lambda mu = 0} \\ {0 \leqslant u \in D\left( A \right), u \ne 0,} \end{array}} \right.$$ (0.1) where A is a strongly elliptic operator on a bounded open set Ω of R n with Dirichlet boundary conditions and m is a continuous bounded function ...
Arendt, W, Batty, C
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Journal of Materials and Engineering Structures, 2022 This paper deal with the stochastic finite element method for investigating the eigenvalues of free vibration of non-uniform beams due to a random field of elastic modulus.
Nhung Thi NGUYEN +3 more
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EIGENVALUE COLLISION FOR PT-SYMMETRIC WAVEGUIDE
Acta Polytechnica, 2014 We consider a model of a planar PT-symmetric waveguide and study the phenomenon of the eigenvalue collision under perturbation of the boundary conditions. This phenomenon was discovered numerically in previous works.
Denis Borisov
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