Elementary Fixed Point Theorems * Theorem of Borsuk and Topological Transversality * Homology and Fixed Points * Leray-Schauder Degree and Fixed Point Index * The Lefschetz-Hopf Theory * Selected Topics * Index

Fixed Point Theory

While many researchers have made contributions to the now extensive literature on service quality, there is much less research on what constitutes delight in service quality and how organizations can delight customers. This article examines the differences between customer satisfaction and customer delight, notably the benefits of delighting rather than merely satisfying customers. It describes how to delight customers, outlines how to implement a successful customer delight program, shows how to measure customer delight, and discusses the potential pitfalls of doing so.

How to delight your customers

Boundary Layer Theory (fourth edition). By H. S CHLICHTINO . New York: McGraw-Hill, 1960. 647 pp. £6. 8 s .

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Electronic packaging materials and their properties

Improve the extrusion process in tire production using Six Sigma methodology

The objective of this paper is to establish a desired trajectory for the Alflex reentry vehicle using stepwise and linear control functions, so that the oscillations of the pitch, roll and yaw rates are minimized. For the variations of the attack angle and pitch angle we find control functions for which the computed results are in a good agreement with those recorded experimentally. I. INTRODUCTION re-entry vehicle is usually well s uited f or hy personic speeds, so during the final approach and landing phase the set of s table s olutions, c orresponding t o s ubsonic speeds, i s r elatively s mall. D ue t o t his inherent instability, such vehicles are e quipped wi th automatic c ontrol s ystems which r esponds t o m omentary va riations of the external perturbations s uch a s w ind, a ir pressure etc. For the eventuality of a failure of t he a utomatic c ontrol s ystem, a n alternate control pr ocedure should be de vised. S uch an alternate control procedure may use stable equilibrium paths as t he one pr esented i n ( 1), but the drawback is t hat t he procedure s eems t o r equire a m uch l onger t ime than expected. An a lternate c ontrol pr ocedure, pr esented in this paper, is based on opt imal c ontrol us ing P ontryagin's Maximum P rinciple. Starting f rom t he i nitial p osition used in a real e xperiment, u ntil t he f lare p osition just before touchdown, a sequence of optimal control-based maneuvers will be computed for the case of the Alflex experimental re- entry vehicle. Alflex i s a s mall-scale unm anned gl ider, developed by t he N ational Ae rospace L aboratory a nd t he National Space Development A gency of J apan as an experimental re-entry vehicle used for the study of the final approach and l anding pha se. I ts e quations of m otion ((2)) are nonlinear : θ

/pdf/optimal-control-in-trajectory-planning-for-a-re-entry-20k9xio2gc.pdf

Optimal control in trajectory planning for a re-entry vehicle

The problem of geometric Kostant quantization of this paper is the role played by "½-correction forms" in order to arrive at the result given by the classical Schrodinger quantization, in the one-dimensional harmonic oscillator study.

On a problem of geometric quantization

In this paper, we have examined a particular case of coherent states, defined so that their structure constants depend only on the products of the energy eigenvalues of the examined systems. In this manner, we have built all three kinds of coherent states (Barut–Girardello, Klauder–Perelomov, and Gazeau–Klauder). From the equation of the unitary operator decomposition, we have highlighted and used a so-called fundamental integral, to obtain some new integrals involving Meijer’s and hypergeometric functions. All calculations are made using the properties of the diagonal operator ordering technique. This is implicitly proved that the coherent state technique can be useful not only in different branches of physics (quantum mechanics, quantum optics, quantum information theory, and so on) but also in the deduction of new integrals involving generalized Meijer’s and hypergeometric functions. This approach can be considered as suitable “feedback” from physics to mathematics.

https://downloads.hindawi.com/journals/mpe/2022/1284378.pdf

Some Integrals Involving Meijer’s and Hypergeometric Functions Using the Coherent State Technique

The aim of this note is to give an extension of a result by McShane to a general stochastic integral operator with a non-Lipschitz condition on the coefficient functions.

On a Class of Stochastic Integral Operators of McShane Type

We study a nonlinear system under regime switching and subject to an environmental noise. The stochastic differential equations with Markovian switching (SDEwMSs), one of the important classes of hybrid systems, have been used to model many physical systems that are subject to frequent unpredictable structural changes. The research in this area has been both theoretical and applied. Most of SDEwMSs do not have explicit solutions so it is important to have numerical solutions. It is surprising that there are not any numerical methods established for SDEwMSs yet, although the numerical methods for stochastic differential equations (SDEs) have been well studied. We will considered some more general conditions for the coefficient functions and prove a result on the existence using the Schauder's fixed point theorem extended some similarly results on linear systems. The most important results in this paper is to develop a numerical scheme for SDEwMSs and estimate the error between the numerical and exact solutions. Also, we study the application of these system to control the electronic circuits using the benefit of stochastic resonance.

/pdf/numerical-solutions-for-a-class-of-nonlinear-systems-and-1tc7r0tlf4.pdf

Romeo Negrea

Papers

Optimal control in trajectory planning for a re-entry vehicle

On a problem of geometric quantization

Some Integrals Involving Meijer’s and Hypergeometric Functions Using the Coherent State Technique

On a Class of Stochastic Integral Operators of McShane Type

Numerical solutions for a class of nonlinear systems and application to stochastic resonance