The sound numerical solution of a research, high tech engineering, or economics problem involves a four step process: (i) formulation of the underlying mathematical model; (ii) design of an algorithm for solving the mathematical model in a finite number of steps; (iii) a computer code algorithm implementation, enabling floating point computations; (iv) (for expert implementation) optimization...
In this paper, we present some results about
the aproximation of fixed points of enriched strictly
pseudocontractive and enriched nonexpansive op-
erators. There are numerous works in this regard
(for example [9], [10], [11] [14], [16], [35] and ref-
erences to them). Of course, the bibliografical ref-
erences are extensive and they are mentioned at
the end of this paper. In order to...
In this article, we establish a fixed-point theorem in the setting
of complete rectangular b-metric spaces endowed with a
partial order. We note that several consequences can be
obtained from the main result.
Abstract: - In this paper it is demonstrated that a wind turbine, WT, which is operating at maximum power point, MPP, at significantly varying wind speeds large variations in the power injected into the grid occur. These power variations can be compensated if the wind system has storage facilities for captured wind energy. This experimental data from a 2.5 [MW] WT in operation in the Dobrogea...
Abstract: The paper presents some characterizations for two concepts of nonuniform dichotomy with growth rates of discrete-time systems in Banach spaces.
The aim of this paper is to give integral characterizations for uniform dichotomy with differentiable growth rates of skew-evolution cocycles in Banach spaces.
Pythagoras said "The world is run by numbers.". How right he was! In the present work, I intend to present you a branch of mathematics that is a little more abstract: astronomy. I will try to capture some classical problems of astronomy in which some relatively simple notions are used. We will walk through "time", discovering sidereal times, apparent solar times and average solar times. We...
In this paper work I will introduce the dynamical covariant derivative operator on the dual space of a given Finsler space using the idea of Legendre duality between the lagrangian formalism and the hamiltonian formalism. Making use of this new operator introduced I will proof that the solution curve equations and their deviations have an elegant geometrical expression.
Keywords: Tangent...
The main purpose of this paper is to extend some fixed point results for single valued $b$-enriched nonexpansive mappings to the case of multivalued mappings.
This research paper aims to investigate how the eigenvalues of Sturm-Liouville problems behave when the differential equation or coefficients are subjected to perturbations. Specifically, the study seeks to examine the continuity of eigenvalues concerning these perturbations.
The research involves theoretical analysis, numerical simulations using Python and MATLAB programming languages, and...
The main aim of this paper is to give characterizations of Datko type for uniform dichotomy in mean with growth rates concept for reversible stochastic skew-evolution semiflows in Banach spaces. As particular case, we obtain integral characterizations for uniform exponential dichotomy in mean and uniform polynomial dichotomy in mean.
The obtained results are generalizations of well-known...
Abstract
The starting point of this paper is the central results of the article by Al-Dolat and Jaradat, “A refinement of the Cauchy-Schwarz inequality accompanied by new numerical radius upper bounds”. The purpose of this paper was to generalize the results obtained by them and to obtain an improvement of those inequalities. This aspect is concretely presented based on an example. An...