Results 101 to 110 of about 24,063 (200)

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
doaj  

Bifurcation Results for a Class of Perturbed Fredholm Maps

Fixed Point Theory and Applications, 2008
We prove a global bifurcation result for an equation of the type Lx+λ(h(x)+k(x))=0, where L:E  →  F is a linear Fredholm operator of index zero between Banach spaces, and, given an open subset Ω of E, h,k:Ω×[0,+∞)
Alessandro Calamai, Pierluigi Benevieri
doaj   +1 more source

Boundary-value problems for nonautonomous nonlinear systems on the half-line

Electronic Journal of Differential Equations, 2011
A method is presented for proving the existence of solutions for boundary-value problems on the half line. The problems under study are nonlinear, nonautonomous systems of ODEs with the possibility of some prescribed value at $t=0$ and with the ...
Jason R. Morris
doaj  

Fredholm-type operators and index

Journal of Mathematical Analysis and Applications
While in \cite{HB} we studied classes of Fredholm-type operators defined by the homomorphism $\Pi$ from $L(X)$ onto the Calkin algebra $\mathcal{C}(X)$, $X$ being a Banach space, we study in this paper two classes of Fredholm-type operators defined by the homomorphism $\pi$ from $L(X)$ onto the algebra $\mathcal{C}_0(X)= L(X)/F_0(X),$ where $F_0(X)$ is
Alaa Hamdan, Mohammed Berkani
openaire   +2 more sources

Factorization of Fredholm operators in operator algebras

Matematychni Studii, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Perturbation theory of p-adic Fredholm and semi-Fredholm operators

Indagationes Mathematicae, 2004
Let \(X,Y\) be a non-archimedean (n.a.) Banach spaces over a n.a. valued field \(\mathbb K\,\) [see \textit{A. C. M. van Rooij,} Non-Archimedean functional analysis (1978; Zbl 0396.46061)]. A continuous linear operator \(T:X\to Y\) is called semi-Fredholm\((-)\) provided that \(\eta(T):= \dim \ker(T) < \infty\) and the range \(R(T)\) is closed in \(Y,\)
Perez-Garcia, C, Vega, S
openaire   +2 more sources

A fixed-point type result for some non-differentiable Fredholm integral equations

Mathematical Modelling and Analysis
In this paper, we present a new fixed-point result to draw conclusions about the existence and uniqueness of the solution for a nonlinear Fredholm integral equation of the second kind with non-differentiable Nemytskii operator.
Miguel A. Hernández-Verón, Sukhjit Singh, Eulalia Martínez, Nisha Yadav   +3 more
doaj   +1 more source

Fredholm linear operators associated with ordinary differential equations on noncompact intervals

Electronic Journal of Differential Equations, 1999
In the noncompact interval $J=[a,infty )$ we consider a linear problem of the form $Lx=y,; x in S$, where $L$ is a first order differential operator, $y$ a locally summable function in $J$, and $S$ a subspace of the Fr'{e}chet space of the locally ...
Mariella Cecchi, Massimo Furi, Mauro Marini, Maria Patrizia Pera   +3 more
doaj  

Convergence analysis of the Legendre wavelets method for a class of Fredholm-Volterra integro-differential equations of fractional-order

Miskolc Mathematical Notes
In this paper, we develop a Legendre wavelets method for the numerical solution of Fredholm-Volterra integro-differential equations of fractional order. The Caputo sense is used to explain the fractional derivative operator.
Marziyeh Felahat
doaj   +1 more source

Iterative method for solving linear operator equation of the first kind. [PDF]

MethodsX, 2023
Noaman SA, Al-Mahdawi HK, Al-Nuaimi BT, Sidikova AI.   +3 more
europepmc   +1 more source