Results 91 to 100 of about 2,211 (224)

Factorization of abstract operators into two second degree operators and its applications to integro-differential equations

Қарағанды университетінің хабаршысы. Математика сериясы
Boundary value problem B1x = f with an abstract linear operator B1, corresponding to an Fredholm integro-differential equation with ordinary or partial differential operator is researched.
I.N. Parasidis, E. Providas
doaj   +1 more source

Multiplication operators on the space of functions of bounded variation

Demonstratio Mathematica, 2017
In this paper,we study the properties of the multiplication operator acting on the bounded variation space BV[0, 1]. In particular,we show the existence of non-null compact multiplication operators on BV[0, 1] and non-invertible Fredholm multiplication ...
Astudillo-Villalba Franklin R., Ramos-Fernández Julio C.   +1 more
doaj   +1 more source

Finite-dimensional perturbations of linear operators and some applications to boundary integral equations

, 1999
Finite-dimensional perturbing operators are constructed using some incomplete information about eigen-solutions of an original and/or adjoint generalized Fredholm operator equation (with zero index).
S.E. Mikhailov, Mikhailov, SE
core   +1 more source

Unitary ensembles with a critical edge point, their multiplicative statistics, and the Korteweg‐de‐Vries hierarchy

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We study the multiplicative statistics associated to the limiting determinantal point process describing eigenvalues of unitary random matrices with a critical edge point, where the limiting eigenvalue density vanishes like a power 5/2. We prove that these statistics are governed by the first three equations of the Korteweg‐de‐Vries (KdV ...
Mattia Cafasso, Carla Mariana da Silva Pinheiro   +1 more
wiley   +1 more source

Fredholm Operators and Spectral Flow [PDF]

, 2016
These are extended lecture notes of a PhD course that the author gave at the Universita degli studi di Torino in Italy in spring 2013.
openaire   +3 more sources

Solvability of some integral equations in Hilbert spaces

Electronic Journal of Differential Equations, 2004
We consider an integral equation of Fredholm and Volterra type with spectral parameter depending on time. Conditions of solvability are established when the initial value of the parameter coincides with an eigenvalue of Fredholm operator.
Onur Alp Ilhan
doaj  

Eigenvalue Problems for Fredholm Operators with Set-Valued Perturbations

Advanced Nonlinear Studies, 2020
By means of a suitable degree theory, we prove persistence of eigenvalues and eigenvectors for set-valued perturbations of a Fredholm linear operator.
Benevieri Pierluigi, Iannizzotto Antonio
doaj   +1 more source

Fredholm composition operators

, 1980
In this paper a necessary and sufficient condition for a composition operator C T {C_T} on L 2 [ 0 , 1 ]
Ashok Kumar
core   +1 more source

Harmonic maps to the circle with higher dimensional singular set

Proceedings of the London Mathematical Society, Volume 132, Issue 3, March 2026.
Abstract In a closed, oriented ambient manifold (Mn,g)$(M^n,g)$ we consider the problem of finding S1$\mathbb {S}^1$‐valued harmonic maps with prescribed singular set. We show that the boundary of any oriented (n−1)$(n-1)$‐submanifold can be realised as the singular set of an S1$\mathbb {S}^1$‐valued map, which is classically harmonic away from the ...
Marco Badran
wiley   +1 more source

Non-perturbative approaches to the quantum Seiberg-Witten curve

Journal of High Energy Physics, 2020
We study various non-perturbative approaches to the quantization of the Seiberg-Witten curve of N $$ \mathcal{N} $$ = 2, SU(2) super Yang-Mills theory, which is closely related to the modified Mathieu operator.
Alba Grassi, Jie Gu, Marcos Mariño
doaj   +1 more source