Results 61 to 70 of about 1,201 (92)

Local spectral theory of endomorphisms of the disk algebra

Demonstratio Mathematica, 2016
Let A(𝔻) denote the disk algebra. Every endomorphism of A(𝔻) is induced by some ϕ ∈ A(𝔻) with ‖ϕ‖ ≤ 1. In this paper, it is shown that if ϕ is not an automorphism of 𝔻 and ϕ has a fixed point in the open unit disk then the endomorphism induced by ϕ is ...
Trivedi Shailesh, Chandra Harish
doaj   +1 more source

An introduction to the distorted Fourier transform

Advanced Nonlinear Studies
This article is intended as an introduction to the distorted Fourier transform associated with a Schrödinger operator on the line or the half-line. This versatile tool has seen numerous applications in nonlinear PDE in recent years.
Ko Haram, Schlag Wilhelm
doaj   +1 more source

Spectral Properties of Nonhomogenous Differential Equations with Spectral Parameter in the Boundary Condition

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
In this paper, using the boundary properties of the analytic functions we investigate the structure of the discrete spectrum of the boundary value problem (0.1)iy1'+q1(x)y2−λy1=ϕ1(x)  −iy2'+q2(x)y1−λy2=ϕ2(x),x∈R+$$\matrix{\hfill {iy_1^\prime + q_1 \left ...
Karaman Özkan
doaj   +1 more source

Semigroup estimates and fast-slow dynamics in parabolic-hyperbolic systems

Advances in Nonlinear Analysis, 2018
We present a general procedure to describe slow dynamics in parabolic-hyperbolic systems, under suitable assumptions on the terms appearing in the equations. In particular, our strategy relies in semigroup estimates for the evolution system associated to
Strani Marta
doaj   +1 more source

Study of weighted elliptic composition operators on the unit ball of ℂN

Concrete Operators
We study the general properties, point spectrum and spectrum of a weighted composition operator Wm,φ{W}_{m,\varphi } with elliptic symbol φ\varphi on the unit ball BN{{\mathbb{B}}}_{N} of CN{{\mathbb{C}}}^{N}, and general weight m∈Hol(BN)m\in {\rm{Hol}}\
Oger Lucas
doaj   +1 more source

Study of the asymptotic eigenvalue distribution and trace formula of a second order operator-differential equation

Boundary Value Problems, 2011
The purpose of writing this article is to show some spectral properties of the Bessel operator equation, with spectral parameter-dependent boundary condition.
Aslanova Nigar
doaj  

Expansion of eigenvalues of the perturbed discrete bilaplacian. [PDF]

Mon Hefte Math, 2022
Kholmatov SY, Khalkhuzhaev A, Pardabaev M.   +2 more
europepmc   +1 more source

Well-posedness and stability analysis of an epidemic model with infection age and spatial diffusion. [PDF]

J Math Biol, 2023
Walker C.
europepmc   +1 more source

Operator-norm homogenisation estimates for the system of Maxwell equations on periodic singular structures. [PDF]

Calc Var Partial Differ Equ, 2022
Cherednichenko K, D'Onofrio S.
europepmc   +1 more source

Static spectra and static families of Fredholm-type operators under tensor product

Arab Journal of Basic and Applied Sciences
In this study, we introduce the static spectrum, the Weyl static families, the upper semi-Fredholm static families, and the Browder static families. These families consist of bounded linear operators parameterized by a scalar variable.
Elvis Aponte
doaj   +1 more source