On the completeness in three body scattering
On the Composition Operator in AC[a,b].
Denote by F the composition operator generated by a given function f: R --> R, acting on the space of absolutely continuous functions. In this paper we prove that the composition operator F maps the space AC[a,b] into itself if and only if f satisfies a local Lipschitz condition on R.
On the composition operator in RVΦ [a,b].
On the computation of some quantities in the theory of Fredholm operators
On the Conley index in Hilbert spaces - a multivalued case
We introduce the cohomological Conley type index theory for multivalued flows generated by vector fields which are compact and convex-valued perturbations of some linear operators.
On the Conley index in Hilbert spaces in the absence of uniqueness
Consider the ordinary differential equation (1) ẋ = Lx + K(x) on an infinite-dimensional Hilbert space E, where L is a bounded linear operator on E which is assumed to be strongly indefinite and K: E → E is a completely continuous but not necessarily locally Lipschitzian map. Given any isolating neighborhood N relative to equation (1) we define a Conley-type index of N. This index is based on Galerkin approximation of equation (1) by finite-dimensional ODEs and extends...
On the connectedness of the set of fixed points of a compact operator in the Fréchet space
On the Construction of Iteration Methods for Linear Equations in Banach Spaces by Summation Methods. (Short Communication).
On the Construction of Iteration Methods for Linear Equations in Banach Spaces by Summation Methods.
On the continuity and differentiability properties of convex functionals
On the continuity of random operators.
On the continuity properties of nonlinear operators and functionals
On the continuous dependence of the fixed points for -contractive-type operators
On the controllability of fractional dynamical systems
This paper is concerned with the controllability of linear and nonlinear fractional dynamical systems in finite dimensional spaces. Sufficient conditions for controllability are obtained using Schauder's fixed point theorem and the controllability Grammian matrix which is defined by the Mittag-Leffler matrix function. Examples are given to illustrate the effectiveness of the theory.
On the convergence and application of Stirling's method
We provide new sufficient convergence conditions for the local and semilocal convergence of Stirling's method to a locally unique solution of a nonlinear operator equation in a Banach space setting. In contrast to earlier results we do not make use of the basic restrictive assumption in [8] that the norm of the Fréchet derivative of the operator involved is strictly bounded above by 1. The study concludes with a numerical example where our results compare favorably with earlier ones.
On the Convergence and Approximation of Cosine Functions.
On the convergence and unconditional convergence of series of operators on Banach spaces.
We study Kalton's theorem on the unconditional convergence of series of compact operators and we use some matrix techniques to obtain sufficient conditions, weaker than the previous one, on the convergence and unconditional convergence of series of compact operators.
On the convergence for an iterative method for quasivariational inclusions.
On the convergence of an implicit iterative process for generalized asymptotically quasi-nonexpansive mappings.
On the convergence of eigenvalues for mixed formulations