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Weighted convergent and bounded solutions of difference systems
(Elsevier Ltd, 1998)
Using a "summable" dichotomy and fixed-point theorems, we prove the existence of convergent and bounded solutions of nonlinear difference systems. © 1998 Elsevier Science Ltd. All rights reserved.
Asymptotic properties of solutions to nonautonomous Volterra difference systems with infinite delay
(2001)
We show that under certain conditions there is a one-to-one correspondence between weighted bounded solutions of a linear nonautonomous Volterra difference system with infinite delay and its perturbed system. Under additional ...
Convergent solutions of linear functional difference equations in phase space
(2003)
By using weighted summable dichotomies and Schauder's fixed point theorem, we prove the existence of convergent solutions of linear functional difference equations. We apply our result to Volterra difference equations with ...
Weighted convergent and bounded solutions of volterra difference systems with infinite delay
(GORDON AND BREACH, 2000)
Almost periodic functions and their applications: A survey of results and perspectives
(Hindawi, 2021)
The main aim of this survey article is to present several known results about vector-valued almost periodic functions and their applications. We separately consider almost periodic functions depending on one real variable ...
Generating Root-Finder Iterative Methods of Second Order: Convergence and Stability
In this paper, a simple family of one-point iterative schemes for approximating the solutions of nonlinear equations, by using the procedure of weight functions, is derived. The convergence analysis is presented, showing ...
Pointwise convergence to initial data of heat and Laplace equations
(American Mathematical Society, 2016-09)
Let L be either the Hermite or the Ornstein-Uhlenbeck operator on Rd. We find optimal integrability conditions on a function f for the existence of its heat and Poisson integrals, e−tLf(x) and e−t √Lf(x), solutions ...
Accuracy analysis for distributed weighted least-squares estimation in finite steps and loopy networks
(Pergamon-Elsevier Science Ltd, 2018-11)
Distributed parameter estimation for large-scale systems is an active research problem. The goal is to derive a distributed algorithm in which each agent obtains a local estimate of its own subset of the global parameter ...