Results 121 to 130 of about 112,078 (333)
Asymptotic properties of the problem on eigenvibrations of the bar with attached load
Учёные записки Казанского университета: Серия Физико-математические науки, 2020 The ordinary second-order differential eigenvalue problem describing eigenvibrations of an elastic bar with a load attached to its end was investigated. The problem has an increasing sequence of positive simple eigenvalues with a limit point at infinity.
A.A. Samsonov +2 more
doaj +1 more source
The Eigenfunctions of the q-Harmonic Oscillator on the Quantum Line [PDF]
arXiv, 2004 We construct a complete set of eigenfunctions of the q-deformed harmonic oscillator on the quantum line. In particular the eigenfunctions corresponding to the non-Fock part of the spectrum will be constructed.
arxiv
On the Solution of Boundary Value Problems Set in Domains With Moving Boundaries
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT We construct solutions for time‐dependent boundary value problems set in moving domains with Dirichlet, Neumann, and mixed boundary conditions. When the boundaries are time deformations of an initial boundary along a vector field, we can refer the boundary problem to a fixed domain at the cost of increasing the complexity of the coefficients ...
Ana Carpio, Gema Duro
wiley +1 more source
Localized Eigenfunctions: Here You See Them, There You Don't [PDF]
arXiv, 2009 This expository note explores Laplacian eigenfunction localization for compact domains. We work in the context of a particular numerically determined, localized, low frequency eigenfunction.
arxiv
The One‐Dimensional Coulomb Hamiltonian: Properties of Its Birman–Schwinger Operator
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The objective of the present paper is to study in detail the properties of the Birman–Schwinger operator for a self‐adjoint realization of the one‐dimensional Hamiltonian with the Coulomb potential, both when the Hamiltonian is defined only on ℝ+$$ {\mathbb{R}}_{+} $$ and when it is defined on the whole real line.
S. Fassari +4 more
wiley +1 more source
Decay of eigenfunctions of elliptic PDE's [PDF]
arXiv, 2013 We study exponential decay of eigenfunctions of self-adjoint higher order elliptic operators on $\R^d$. We show that the possible critical decay rates are determined algebraically. In addition we show absence of super-exponentially decaying eigenfunctions and a refined exponential upper bound.
arxiv
International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.ABSTRACT The stability analysis of a saturated soil slope subjected to seepage flow generated by rapid water level drawdown is investigated in this paper by means of the limit analysis kinematic approach. The analysis takes into account the inherent spatial variability of soil strength and permeability properties.
Mário Vargas Ceron +3 more
wiley +1 more source
Exponential decay of two-body eigenfunctions: A review
Electronic Journal of Differential Equations, 2000 We review various results on the exponential decay of the eigenfunctions of two-body Schrödinger operators. The exponential, isotropic bound results of Slaggie and Wichmann for eigenfunctions of Schrödinger operators corresponding to eigenvalues below ...
Peter Hislop
doaj
Boundary value problems for essentially-loaded parabolic equation
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In this paper we investigate the first boundary value problem for essentially loaded equation of heat conduction, i.e. when laden terms are derivatives for any finite order.
M.I. Ramazanov +4 more
doaj +1 more source
Eigenvalues and Eigenfunctions of Double Layer Potentials [PDF]
arXiv, 2015 For bounded domains, eigenvalues and eigenfunctions of double layer potentials are considered. The aim of this paper is to establish some relationships between eigenvalues, eigenfunctions and the geometry of domain boundaries.
arxiv