Results 61 to 70 of about 23,916 (184)

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
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Nonlinear Ritz approximation for Fredholm functionals

Electronic Journal of Differential Equations, 2015
In this article we use the modify Lyapunov-Schmidt reduction to find nonlinear Ritz approximation for a Fredholm functional. This functional corresponds to a nonlinear Fredholm operator defined by a nonlinear fourth-order differential equation.
Mudhir A. Abdul Hussain
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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
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The asymptotics a Bessel-kernel determinant which arises in Random Matrix Theory [PDF]

, 2010
In Random Matrix Theory the local correlations of the Laguerre and Jacobi Unitary Ensemble in the hard edge scaling limit can be described in terms of the Bessel kernel (containing a parameter $\alpha$).
Ehrhardt, Torsten
core  

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.
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Degenerate Integro-Differential Equations of Convolution Type in Banach Spaces

Известия Иркутского государственного университета: Серия "Математика", 2016
We consider an integro-differential equation in convolutions of a special kind in Banach spaces with the Fredholm operator in the main part. The article concerns with the problem of unique solvability of the Cauchy-problem for this equation in the class ...
M. Falaleev
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Bifurcation theory for Fredholm operators

Journal of Differential Equations
This paper consists of four parts. It begins by using the authors's generalized Schauder formula, [50], and the algebraic multiplicity, $χ$, of Esquinas and López-Gómez [18,17,40] to package and sharpening all existing results in local and global bifurcation theory for Fredholm operators through the recent author's axiomatization of the Fitzpatrick ...
Julián López-Gómez, Juan Carlos Sampedro   +1 more
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Some New Properties in Fredholm Theory, Schechter Essential Spectrum, and Application to Transport Theory

Journal of Inequalities and Applications, 2008
The theory of measures of noncompactness has many applications on topology, functional analysis, and operator theory. In this paper, we consider one axiomatic approach to this notion which includes the most important classical definitions.
Dehici Abdelkader, Abdelmoumen Boulbeba, Jeribi Aref, Mnif Maher   +3 more
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Interpolation of Fredholm operators

Advances in Mathematics, 2016
We prove novel results on interpolation of Fredholm operators including an abstract factorization theorem. The main result of this paper provides sufficient conditions on the parameters $ \in (0,1)$ and $q\in \lbrack 1,\infty ]$ under which an operator $A$ is a Fredholm operator from the real interpolation space $(X_{0},X_{1})_{ ,q}$ to $(Y_{0},Y_{1})
Asekritova, I., Kruglyak, N., Mastyło, M.   +2 more
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On some application of biorthogonal spline systems to integral equations [PDF]

Opuscula Mathematica, 2005
We consider an operator \(P_N: L_p(I) \to S_n(\Delta_N)\), such that \(P_Nf=f\) for \(f\in S_n(\Delta_N)\), where \(S_n(\Delta_N)\) is the space of splines of degree \(n\) with respect to a given partition \(\Delta_N\) of the interval \(I\).
Zygmunt Wronicz
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