Results 61 to 70 of about 147,544 (216)
Revisiting the quasinormal modes of the Schwarzschild black hole: Numerical analysis
We revisit the problem of calculating the quasinormal modes of spin 0, 1/2, 1, 3/2, 2, and spin 5/2 fields in the asymptotically flat Schwarzschild black hole spacetime. Our aim is to investigate the problem from the numerical point of view, by comparing
Luis A. H. Mamani+3 more
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Viewing the Steklov eigenvalues of the Laplace operator as critical Neumann eigenvalues [PDF]
We consider the Steklov eigenvalues of the Laplace operator as limiting Neumann eigenvalues in a problem of boundary mass concentration. We discuss the asymptotic behavior of the Neumann eigenvalues in a ball and we deduce that the Steklov eigenvalues minimize the Neumann eigenvalues.
arxiv
Asymptotic expansions of Stekloff eigenvalues for perturbations of inhomogeneous media [PDF]
Eigenvalues arising in scattering theory have been envisioned as a potential source of target signatures in nondestructive testing of materials, whereby perturbations of the eigenvalues computed for a penetrable medium would be used to infer changes in its constitutive parameters relative to some reference values.
arxiv
Perturbed fractional eigenvalue problems
Let \begin{document} $Ω\subset\mathbb{R}^N$ \end{document} ( \begin{document} $N≥2$ \end{document} ) be a bounded domain with Lipschitz boundary. For each \begin{document} $p∈(1,∞)$ \end{document} and \begin{document} $s∈ (0,1)$ \end{document} we denote by \begin{document} $(-Δ_p)^s$ \end{document} the fractional \begin{document ...
Maria Fărcăşeanu+2 more
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Perturbation results involving the 1-Laplace operator [PDF]
We consider perturbed eigenvalue problems of the 1-Laplace operator and verify the existence of a sequence of solutions. It is shown that the eigenvalues of the perturbed problem converge to the corresponding eigenvalue of the unperturbed problem as the perturbation becomes small.
arxiv
This paper investigates the dynamic behavior analysis on the prey-predator model with ratio-dependent Monod-Haldane response function under the homogeneous Dirichlet boundary conditions, which is used to simulate a class of biological system.
Feng Xiaozhou, Song Yi, An Xiaomin
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Dissipative systems with nonlocal delayed feedback control
We present a linear model, which mimics the response of a spatially extended dissipative medium to a distant perturbation, and investigate its dynamics under delayed feedback control.
Josua Grawitter+3 more
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A New Analytical Method for Stochastic Response of Structure-Damper System
Fundamental principles from structural dynamics, pseudo excitation method and perturbation techniques are used to develop a new fast stochastic method for seismic analysis of the combined structuredamper system.
Wei Guo, Hong-nan Li, Guo-huan Liu
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Effects of small spatial variation of the reproduction rate in a two species competition model
Of concern is the effect of a small spatially inhomogeneous perturbation of the reproduction rate of the first species in a two-species Lotka-Volterra competition-diffusion problem with spatially homogeneous reaction terms.
Georg Hetzer, Tung Nguyen, Wenxian Shen
doaj
Perturbation bounds for eigenvalues of diagonalizable matrices and singular values
Perturbation bounds for eigenvalues of diagonalizable matrices are derived. Perturbation bounds for singular values of arbitrary matrices are also given. We generalize some existing results.
Duanmei Zhou+3 more
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