Results 71 to 80 of about 66,959 (230)
Error investigation of finite element approximation for a nonlinear Sturm–Liouville problem
A positive definite differential eigenvalue problem with coefficients depending nonlinearly on the spectral parameter has been studied. The differential eigenvalue problem is formulated as a variational eigenvalue problem in a Hilbert space with bilinear
A.A. Samsonov +2 more
doaj
Health Prognostics in Multi‐Sensor Systems Based on Multivariate Functional Data Analysis
ABSTRACT Recent developments in big data analysis, machine learning, Industry 4.0, and IoT applications have enabled the monitoring and processing of multi‐sensor data collected from systems, allowing for the prediction of the “Remaining Useful Life” (RUL) of system components.
Cevahir Yildirim +2 more
wiley +1 more source
On the parity of the number of nodal domains for an eigenfunction of the Laplacian on tori
In this note, we discuss a question posed by T. Hoffmann-Ostenhof concerning the parity of the number of nodal domains for a non-constant eigenfunction of the Laplacian on flat tori. We present two results.
Léna, Corentin
core
Eigenfunction expansions in ℝⁿ
The main goal of this paper is to extend in R n \mathbb {R}^n a result of Seeley on eigenfunction expansions of real analytic functions on compact manifolds. As a counterpart of an elliptic operator in a compact manifold, we consider in R n \mathbb {R}^n
T. Gramchev +2 more
openaire +4 more sources
Stochastic Duality and Eigenfunctions [PDF]
We start from the observation that, anytime two Markov generators share an eigenvalue, the function constructed from the product of the two eigenfunctions associated to this common eigenvalue is a duality function. We push further this observation and provide a full characterization of duality relations in terms of spectral decompositions of the ...
Redig F., Sau F.
openaire +3 more sources
Traditional fermented foods worldwide depend on naturally occurring microbes, yet the environmental sources shaping these microbes and their effects on food quality remain poorly understood. We investigated bacteria living inside the roots of wild plants used to produce Munkoyo, a widely consumed nonalcoholic fermented cereal beverage in Zambia, to ...
Mubonda Kalumbilo +6 more
wiley +1 more source
The problem of finding the minimal eigenvalue corresponding to a positive eigenfunction of the nonlinear eigenvalue problem for the ordinary differential equation with coefficients depending on a spectral parameter is investigated. This problem arises in
Solov´ev Sergey I. +2 more
doaj +1 more source
Non‐Migrating Thermal Tides in the Martian Lower Atmosphere Observed by EMM/EMIRS
Abstract Thermal tides significantly influence Martian atmospheric dynamics and radiative transfer. However, the excitation mechanisms of non‐migrating tides, exhibiting diverse spatial structures, remain poorly understood due to the limited number of observations.
Cong Sun +13 more
wiley +1 more source
Ground State for the Schrödinger Operator with the Weighted Hardy Potential
We establish the existence of ground states on ℝ𝑁 for the Laplace operator involving the Hardy-type potential. This gives rise to the existence of the principal eigenfunctions for the Laplace operator involving weighted Hardy potentials. We also obtain a
J. Chabrowski, K. Tintarev
doaj +1 more source
Change Point Analysis for Functional Data Using Empirical Characteristic Functionals
ABSTRACT We develop a new method to detect change points in the distribution of functional data based on integrated CUSUM processes of empirical characteristic functionals. Asymptotic results are presented under conditions allowing for low‐order moments and serial dependence in the data establishing the limiting null‐distribution of the proposed test ...
Lajos Horváth +2 more
wiley +1 more source

