Results 21 to 30 of about 112,539 (200)

The nonlocal boundary value problem with perturbations of mixed boundary conditions for an elliptic equation with constant coefficients. I

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2019
In this article we investigate a problem with nonlocal boundary conditions which are multipoint perturbations of mixed boundary conditions in the unit square $G$ using the Fourier method. The properties of a generalized transformation operator $R: L_2(G)
Ya.O. Baranetskij   +3 more
doaj   +1 more source

Half-delocalization of eigenfunctions for the Laplacian on an Anosov manifold [PDF]

open access: yes, 2007
We study the high-energy eigenfunctions of the Laplacian on a compact Riemannian manifold with Anosov geodesic flow. The localization of a semiclassical measure associated with a sequence of eigenfunctions is characterized by the Kolmogorov-Sinai entropy
Anantharaman, Nalini   +1 more
core   +3 more sources

The nonlocal problem for the differential-operator equation of the even order with the involution

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2018
In this paper, the problem with boundary nonself-adjoint conditions for a differential-operator equations of the order $2n$ with involution is studied. Spectral properties of operator of the problem is investigated.
Ya.O. Baranetskij   +3 more
doaj   +1 more source

Dynamical Transmission and Mathematical Analysis of Ebola Virus Using a Constant Proportional Operator with a Power Law Kernel

open access: yesFractal and Fractional, 2023
The Ebola virus continues to be the world’s biggest cause of mortality, especially in developing countries, despite the availability of safe and effective immunization.
Changjin Xu, Muhammad Farman
doaj   +1 more source

Eigenvalue Problem for a Reduced Dynamo Model in Thick Astrophysical Discs

open access: yesMathematics, 2023
Magnetic fields of different astrophysical objects are generated by the dynamo mechanism. Dynamo is based on the alpha-effect and differential rotation, which are described using a system of parabolic equations.
Evgeny Mikhailov, Maria Pashentseva
doaj   +1 more source

Fermion States on the Sphere $S^2$ [PDF]

open access: yes, 2001
We solve for the spectrum and eigenfunctions of Dirac operator on the sphere. The eigenvalues are nonzero whole numbers. The eigenfunctions are two-component spinors which may be classified by representations of the SU(2) group with half-integer angular ...
Abrikosov Jr, Alexei A.
core   +2 more sources

Vortex Solutions for Thermohaline circulation Equations [PDF]

open access: yesJournal of Mahani Mathematical Research, 2023
The main objective of this article is to establish a new model and find some vortex axisymmetric solutions of finite core size for this model. We introduce the hydrodynamical equations governing the atmospheric circulation over the tropics, the ...
Mahdi Kamandar
doaj   +1 more source

Prony Method for Two-Generator Sparse Expansion Problem

open access: yesMathematical and Computational Applications, 2022
In data analysis and signal processing, the recovery of structured functions from the given sampling values is a fundamental problem. Many methods generalized from the Prony method have been developed to solve this problem; however, the current research ...
Abdulmtalb Hussen, Wenjie He
doaj   +1 more source

The Principle of Localization at the Class of Functions Integrable in the Riemann for the Processes of Lagrange - Sturm - Liouville [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020
Let us say that the principle of localization holds at the class of functions $F$ at point $x_0 \in [0, \pi]$ for the Lagrange\,--\,Sturm\,--\,Liouville interpolation process $L_n^{SL}(f,x)$ if $\lim_{n \rightarrow \infty}\left|L_n^{SL}(f, x_0)-L_n^{SL ...
Aleksandr Yurievich Trynin   +1 more
doaj   +1 more source

Experimental Results of Partial Discharge Localization in Bounded Domains

open access: yesSensors, 2021
This work presents a novel diagnostic method to localize Partial Discharges (PDs) inside Medium Voltage (MV) and High Voltage (HV) equipment. The method is well suited for that equipment presenting a bounded domain with fixed Boundary Conditions (BCs ...
Luca Perfetto, Gabriele D’Antona
doaj   +1 more source

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