Results 81 to 90 of about 603 (164)

A Special Class of Infinite Dimensional Dirac Operators on the Abstract Boson-Fermion Fock Space

Journal of Mathematics, 2014
Spectral properties of a special class of infinite dimensional Dirac operators Q(α) on the abstract boson-fermion Fock space ℱ(ℋ,𝒦) associated with the pair (ℋ,𝒦) of complex Hilbert spaces are investigated, where α∈C is a perturbation parameter (a ...
Asao Arai
doaj   +1 more source

Analysis of segregated boundary-domain integral equations for BVPs with non-smooth coefficients on Lipschitz domains

Boundary Value Problems, 2018
Segregated direct boundary-domain integral equations (BDIEs) based on a parametrix and associated with the Dirichlet and Neumann boundary value problems for the linear stationary diffusion partial differential equation with a variable Hölder-continuous ...
Sergey E. Mikhailov
doaj   +1 more source

Smoothing Effect and Fredholm Property for First-order Hyperbolic PDEs [PDF]

, 2013
We give an exposition of recent results on regularity and Fredholm properties for first-order one-dimensional hyperbolic PDEs. We show that large classes of boundary operators cause an effect that smoothness increases with time. This property is the key in finding regularizers (parametrices) for hyperbolic problems.
openaire   +2 more sources

Fredholm properties of Schrödinger operators in $L^P(\mathbbR^N)$

Differential and Integral Equations, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rabier, P. J., Stuart, C. A.
openaire   +3 more sources

Some remarks on spectra of nuclear operators

Open Mathematics, 2018
We give criteria for the spectra of some nuclear operators in subspaces of quotients of Lp-spaces to be central-symmetric, as well as for the spectra of linear operators in Banach spaces to be Zd-symmetric in the sense of B. Mityagin.
Reinov Oleg I.
doaj   +1 more source

The Existence of Periodic Solutions for Second-Order Delay Differential Systems. [PDF]

J Dyn Differ Equ, 2022
Liu C, Wang Q.
europepmc   +1 more source

Multidimensional fuzzy ϕ-contraction inequality and its application

Journal of Inequalities and Applications
This paper introduces and explores the concept of fuzzy ϕ-contraction to establish the existence of n-tupled coincidence points in partially ordered GV-fuzzy metric spaces. Using the unique properties of the H-type triangular norm, we integrate this norm
Uma Devi Patel, Vineeta Chandra, Abdelhamid Moussaoui, Stojan Radenović   +3 more
doaj   +1 more source

On Fredholm property of hypersingular integral operators in special classes of functions

Известия высших учебных заведений. Поволжский регион: Физико-математические науки
Background. Hypersingular integral equations on a segment that arise in many issues of mathematical physics are considered. Materials and methods. Hypersingular equations are studied in special classes of functions, which are represented by Fourier ...
Yu.G. Smirnov
doaj   +1 more source

Spectral, Semi-Fredholm and Fredholm Properties of Differential Operators

, 2013
Асимптотическая теория дифференциальных ...
openaire   +1 more source

Spectral technique with convergence analysis for solving one and two-dimensional mixed Volterra-Fredholm integral equation. [PDF]

PLoS One, 2023
Amin AZ, Amin AK, Abdelkawy MA, Alluhaybi AA, Hashim I.   +4 more
europepmc   +1 more source