Many studies have been done on superposition operators and non-Newtonian calculus from past to present. Sağır Erdoğan defined Non-Newtonian characterized them some sequence spaces. Also they examined *- boundedness *-locally of c0,α cα l1,β. In this study, we define *-continuity *-uniform continuity operator. We proved that the necessary sufficient conditions for operator Then relationship betw...

A necessary and sufficient condition for the uniform convergence of a family of reversed martingales converging to a degenerated limiting process is given. The condition is expressed by means of regular convergence (in Hardy’s sense) of corresponding means. It is shown that the given regular convergence is equivalent to Hoffmann-Jørgensen’s eventually total boundedness in the mean which is nece...

The robust bounded control problem for the permanent magnet linear motors with inequality constraints is studied. Firstly, dynamical model of system built, through state transformation used to satisfy constraint position output. Thus, controller after can ensure that output motor stays desired range. Selecting appropriate boundary function, and then upper lower bounds be set according our requi...

We study some properties, such as uniform boundedness, unitarity and irreducibility, of a class of representations of the free product of groups. In particular we show that the spherical functions on the free product of two groups, introduced by Cartwright and Soardi, are coefficients of irreducible representations.

We establish some new sufficient conditions to the uniform asymptotically stability and boundedness of the solutions for a kind of non-autonomous differential equations of third order with constant delay. By defining an appropriate Lyapunov functional, we prove two new theorems on the subject. Our results improve and form a complement to some known recent results in the literature.

A robust adaptive controller design for a class of Markovian jump parametric -strictfeedback systems is given. The disturbances considered herein include both uncertain nonlinearities and Wiener noises of unknown covariance. And they satisfy some boundconditions. By using stochastic Lyapunov method in Markovian jump systems, a switching robust adaptive controller was obtained that guarantees gl...

In the present paper, we study some properties of fuzzy norm of linear operators. At first the bounded inverse theorem on fuzzy normed linear spaces is investigated. Then, we prove Hahn Banach theorem, uniform boundedness theorem and closed graph theorem on fuzzy normed linear spaces. Finally the set of all compact operators on these spaces is studied.

This paper focuses on the phase transitions of a 2×2 system of mixed type for viscosity-capillarity with periodic initial-boundary condition in a viscoelastic material. By the Liapunov functional method, we prove the existence, uniqueness, regularity and uniform boundedness of the solution. The results are correct even for large initial data.

This paper presents experimental results for master-slave synchronization of two robot manipulators using a recently developed observer-controller scheme. The paper aims to investigate the value and the limitations of the theory. In particular, the theoretical result of uniform ultimate boundedness of the synchronization errors is investigated. Back-to-back simulation results are also presented...