Results 111 to 120 of about 2,211 (224)

Fredholm differential operators with unbounded coefficients

, 2005
We prove that a first-order linear differential operator G with unbounded operator coefficients is Fredholm on spaces of functions on R with values in a reflexive Banach space if and only if the corresponding strongly continuous evolution family has ...
Tomilov, Yuri, Yuri Tomilov, Latushkin, Yuri, Yuri Latushkin   +3 more
core   +1 more source

A note on the decomposition of Fredholm operators

Demonstratio Mathematica, 2008
AbstractWe generalize a result of F. Szigeti concerning the decomposition of Fredholm operators on Banach spaces.
openaire   +1 more source

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  

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  

Augmenting a Fredholm Operator of Zero Index to Achieve Invertibility for Elliptic Boundary Value Problems

, 1993
An elliptic partial differential operator satisfies the Gårding inequality, which leads to a Fredholm operator when the boundary conditions are also properly posed. In many applications, this Fredholm operator has zero index.
Sun, S.H., Chen, G.
core   +1 more source

A construction of semi-infinite de Rham cohomology [PDF]

The purpose of this thesis is to describe a construction of semi-infinite de Rham cohomology for infinite dimensional manifolds equipped with the extra structure of a polarisation.
Stacey, Andrew Edgell
core  

Teoria de Fredholm em espaços de Hilbert [PDF]

, 2007
Mestrado em MatemáticaNo âmbito da Análise Funcional, este trabalho incide no estudo da Teoria de Fredholm de operadores que actuam entre espaços de Hilbert.
Esteves, Ana Rute Cerveira
core  

Fredholm-type operators and index

Journal of Mathematical Analysis and Applications
arXiv admin note: text overlap with arXiv:2401 ...
Alaa Hamdan, Mohammed Berkani
openaire   +2 more sources