Results 141 to 150 of about 51,774 (314)
About the spectral problem arising from robotic manipulator mechanics
Моделирование и анализ информационных систем, 2009 A spectral boundary problem of special type containing a spectral parameter in the boundary condition is completely solved in this paper. The characteristic equation for spectrum points determination is obtained, the energy innerproduct is derived, and ...
V. I. Voytitsky +2 more
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On the completeness of a pair of biorthogonally conjugated systems of functions
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 In this paper we studied the spectral problem for an ordinary second order differential equation on a finite interval with a discontinuous coefficient of the highest derivative. At the ends of the segment the boundary conditions of the first kind are given.
Alfira A Gimaltdinova, Ksenija V Kurman
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Graph Eigenfunctions and Quantum Unique Ergodicity [PDF]
arXiv, 2010 We apply the techniques of our previous paper to study joint eigenfunctions of the Laplacian and one Hecke operator on compact congruence surfaces, and joint eigenfunctions of the two partial Laplacians on compact quotients of $\mathbb{H}\times\mathbb{H}$.
arxiv
An Observation on Eigenfunctions of the Laplacian
La MatematicaIn his seminal 1943 paper F. Rellich proved that, in the complement of a cavity $Ω= \{x\in \mathbb R^n\mid |x|>R_0\}$, there exist no nontrivial solution $f$ of the Helmholtz equation $Δf = - λf$, when $λ>0$, such that $\int_Ω |f|^2 dx < \infty$.
Banerjee, Agnid, Garofalo, Nicola
openaire +2 more sources
Multi‐Slit Diffraction in Scaled Space‐Time
Natural Sciences, EarlyView.A space‐time scaling is used to transform quantum wave packets describing free particle motion to packets moving in an effective harmonic oscillator potential that confines and directs the wave fronts along the classical phase space of the oscillator. The transformation is applied to multi‐slit diffraction and shown to characterize diffraction features
James M. Feagin
wiley +1 more source
Parameter control of optical soliton in one‐dimensional photonic crystal
Mathematical Modelling and Analysis, 2010 The paper deals with finding of soliton solution for Schrödinger equation with periodic linear and nonlinear properties of medium in 1D case. Such structure is named as photonic crystal.
Vyacheslav A. Trofimov +3 more
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A lower bound for the nodal sets of Steklov eigenfunctions [PDF]
arXiv, 2014 We consider the lower bound of nodal sets of Steklov eigenfunctions on smooth Riemannian manifolds with boundary--the eigenfunctions of the Dirichlet-to-Neumann map. Let $N_\lambda$ be its nodal set. Assume that zero is a regular value of Steklov eigenfunctions.
arxiv
NUMERICAL METHODS FOR DISCONTINUOUS STURM-LIOUVILLE PROBLEMS
Journal of New Theory, 2015 − This study is devoted to determining the eigenvalues and eigenfunctions of a discontinuous Sturm-Liouville Problem. By modifying the finite difference method, we have developed anumerical approximation to the eigenvalues and ...
Zulfigar Akdogan, Savas Kunduracı
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On Two-Fold Expansion Formulas For A Singular Sturm-Liouville Operator
Journal of Applied Computer Science & Mathematics, 2019 In this paper, a singular Sturm-Liouville problem dependent spectral parameter in boundary condition is considered. Special solutions and scattering datas are defined.
ALA Volkan, MAMEDOV Khanlar R.
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