Results 71 to 80 of about 23,916 (184)

Integrodifferential Equations of the Vector Problem of Electromagnetic Wave Diffraction by a System of Nonintersecting Screens and Inhomogeneous Bodies

Advances in Mathematical Physics, 2015
The vector problem of electromagnetic wave diffraction by a system of bodies and infinitely thin screens is considered in a quasi-classical formulation.
Y. G. Smirnov, A. A. Tsupak
doaj   +1 more source

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

Spectral Invariants of Operators of Dirac Type on Partitioned Manifolds

, 2003
We review the concepts of the index of a Fredholm operator, the spectral flow of a curve of self-adjoint Fredholm operators, the Maslov index of a curve of Lagrangian subspaces in symplectic Hilbert space, and the eta invariant of operators of Dirac type
Bleecker, David, Booss-Bavnbek, Bernhelm
core  

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

Feynman propagators and Hadamard states from scattering data for the Klein-Gordon equation on asymptotically Minkowski spacetimes

, 2016
We consider the massive Klein-Gordon equation on a class of asymptotically static spacetimes. We prove the existence and Hadamard property of the in and out states constructed by scattering theory methods.
Gérard, Christian, Wrochna, Michal
core   +1 more source

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

Asymptotics via Steepest Descent for an Operator Riemann-Hilbert Problem

, 1999
In this paper, we take the first step towards an extension of the nonlinear steepest descent method of Deift, Its and Zhou to the case of operator Riemann-Hilbert problems.
Kamvissis, Spyridon
core   +1 more source