Methods Of Guiding Functions In Problems Of Nonlinear Analysis
DOWNLOAD
Download Methods Of Guiding Functions In Problems Of Nonlinear Analysis PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Methods Of Guiding Functions In Problems Of Nonlinear Analysis book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Methods Of Guiding Functions In Problems Of Nonlinear Analysis
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 2013
Methods Of Guiding Functions In Problems Of Nonlinear Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
Method Of Guiding Functions In Problems Of Nonlinear Analysis
DOWNLOAD
Author : Valeri Obukhovskii
language : en
Publisher: Springer
Release Date : 2013-05-13
Method Of Guiding Functions In Problems Of Nonlinear Analysis written by Valeri Obukhovskii and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-13 with Mathematics categories.
This book offers a self-contained introduction to the theory of guiding functions methods, which can be used to study the existence of periodic solutions and their bifurcations in ordinary differential equations, differential inclusions and in control theory. It starts with the basic concepts of nonlinear and multivalued analysis, describes the classical aspects of the method of guiding functions, and then presents recent findings only available in the research literature. It describes essential applications in control theory, the theory of bifurcations, and physics, making it a valuable resource not only for “pure” mathematicians, but also for students and researchers working in applied mathematics, the engineering sciences and physics.
A Practical Guide To Averaging Functions
DOWNLOAD
Author : Gleb Beliakov
language : en
Publisher: Springer
Release Date : 2015-10-15
A Practical Guide To Averaging Functions written by Gleb Beliakov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-15 with Technology & Engineering categories.
This book offers an easy-to-use and practice-oriented reference guide to mathematical averages. It presents different ways of aggregating input values given on a numerical scale, and of choosing and/or constructing aggregating functions for specific applications. Building on a previous monograph by Beliakov et al. published by Springer in 2007, it outlines new aggregation methods developed in the interim, with a special focus on the topic of averaging aggregation functions. It examines recent advances in the field, such as aggregation on lattices, penalty-based aggregation and weakly monotone averaging, and extends many of the already existing methods, such as: ordered weighted averaging (OWA), fuzzy integrals and mixture functions. A substantial mathematical background is not called for, as all the relevant mathematical notions are explained here and reported on together with a wealth of graphical illustrations of distinct families of aggregation functions. The authors mainly focus on practical applications and give central importance to the conciseness of exposition, as well as the relevance and applicability of the reported methods, offering a valuable resource for computer scientists, IT specialists, mathematicians, system architects, knowledge engineers and programmers, as well as for anyone facing the issue of how to combine various inputs into a single output value.
Nonlinear Analysis Theory And Methods
DOWNLOAD
Author : Nikolaos S. Papageorgiou
language : en
Publisher: Springer
Release Date : 2019-02-26
Nonlinear Analysis Theory And Methods written by Nikolaos S. Papageorgiou and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-26 with Mathematics categories.
This book emphasizes those basic abstract methods and theories that are useful in the study of nonlinear boundary value problems. The content is developed over six chapters, providing a thorough introduction to the techniques used in the variational and topological analysis of nonlinear boundary value problems described by stationary differential operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equations as well as their applications to various processes arising in the applied sciences. They show how these diverse topics are connected to other important parts of mathematics, including topology, functional analysis, mathematical physics, and potential theory. Throughout the book a nice balance is maintained between rigorous mathematics and physical applications. The primary readership includes graduate students and researchers in pure and applied nonlinear analysis.
Dynamic Analysis User S Guide
DOWNLOAD
Author : MSC Software
language : en
Publisher: MSC Software
Release Date : 2011-10-28
Dynamic Analysis User S Guide written by MSC Software and has been published by MSC Software this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-28 with Computers categories.
The Duffing Equation
DOWNLOAD
Author : Lakshmi Burra
language : en
Publisher: Springer Nature
Release Date : 2025-01-03
The Duffing Equation written by Lakshmi Burra and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-03 with Mathematics categories.
This book discusses the generalized Duffing equation and its periodic perturbations, with special emphasis on the existence and multiplicity of periodic solutions, subharmonic solutions and different approaches to prove rigorously the presence of chaotic dynamics. Topics in the book are presented at an expository level without entering too much into technical detail. It targets to researchers in the field of chaotic dynamics as well as graduate students with a basic knowledge of topology, analysis, ordinary differential equations and dynamical systems. The book starts with a study of the autonomous equation which represents a simple model of dynamics of a mechanical system with one degree of freedom. This special case has been discussed in the book by using an associated energy function. In the case of a centre, a precise formula is given for the period of the orbit by studying the associated period map. The book also deals with the problem of existence of periodic solutions for the periodically perturbed equation. An important operator, the Poincaré map, is introduced and studied with respect to the existence and multiplicity of its fixed points and periodic points. As a map of the plane into itself, complicated structure and patterns can arise giving numeric evidence of the presence of the so-called chaotic dynamics. Therefore, some novel topological tools are introduced to detect and rigorously prove the existence of periodic solutions as well as analytically prove the existence of chaotic dynamics according to some classical definitions introduced in the last decades. Finally, the rest of the book is devoted to some recent applications in different mathematical models. It carefully describes the technique of “stretching along the paths”, which is a very efficient tool to prove rigorously the presence of chaotic dynamics.
Elements Of Nonlinear Analysis
DOWNLOAD
Author : Michel Chipot
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-11-01
Elements Of Nonlinear Analysis written by Michel Chipot and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-11-01 with Mathematics categories.
"This book covers some of the main aspects of nonlinear analysis. It concentrates on stressing the fundamental ideas instead of elaborating on the intricacies of the more esoteric ones...it encompass[es] many methods of dynamical systems in quite simple and original settings. I recommend this book to anyone interested in the main and essential concepts of nonlinear analysis as well as the relevant methodologies and applications." --MATHEMATICAL REVIEWS
A Practical Guide To Pseudospectral Methods
DOWNLOAD
Author : Bengt Fornberg
language : en
Publisher: Cambridge University Press
Release Date : 1998-10-28
A Practical Guide To Pseudospectral Methods written by Bengt Fornberg and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-10-28 with Mathematics categories.
This book explains how, when and why the pseudospectral approach works.
Multivalued Maps And Differential Inclusions Elements Of Theory And Applications
DOWNLOAD
Author : Valeri Obukhovskii
language : en
Publisher: World Scientific
Release Date : 2020-04-04
Multivalued Maps And Differential Inclusions Elements Of Theory And Applications written by Valeri Obukhovskii and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-04 with Mathematics categories.
The theory of multivalued maps and the theory of differential inclusions are closely connected and intensively developing branches of contemporary mathematics. They have effective and interesting applications in control theory, optimization, calculus of variations, non-smooth and convex analysis, game theory, mathematical economics and in other fields.This book presents a user-friendly and self-contained introduction to both subjects. It is aimed at 'beginners', starting with students of senior courses. The book will be useful both for readers whose interests lie in the sphere of pure mathematics, as well as for those who are involved in applicable aspects of the theory. In Chapter 0, basic definitions and fundamental results in topology are collected. Chapter 1 begins with examples showing how naturally the idea of a multivalued map arises in diverse areas of mathematics, continues with the description of a variety of properties of multivalued maps and finishes with measurable multivalued functions. Chapter 2 is devoted to the theory of fixed points of multivalued maps. The whole of Chapter 3 focuses on the study of differential inclusions and their applications in control theory. The subject of last Chapter 4 is the applications in dynamical systems, game theory, and mathematical economics.The book is completed with the bibliographic commentaries and additions containing the exposition related both to the sections described in the book and to those which left outside its framework. The extensive bibliography (including more than 400 items) leads from basic works to recent studies.
Trajectory Optimization And Guidance Methods For Mars Entry
DOWNLOAD
Author : Shuang Li
language : en
Publisher: Springer Nature
Release Date : 2024-03-12
Trajectory Optimization And Guidance Methods For Mars Entry written by Shuang Li and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-12 with Technology & Engineering categories.
This book systematically investigates the Mars entry problem from the perspectives of deterministic optimization, uncertainty optimization, and guidance. Began with a detailed review of the robotic missions and human-scaled exploration plans to Mars, theories or concepts of optimal control, uncertainty quantification, robust optimization, model predictive control, sequential convex programming, and computational guidance are subsequently introduced. Correspondingly, this book presents a series of trajectory planning and guidance algorithms to improve the robustness, reliability, and safety of the Mars missions. Because the Mars entry problem is studied using advanced mathematics, including probability theory, optimization theory, and cybernetics, thus the book is primarily designed as a textbook for graduate students in aerospace engineering, aeronautics, and astronautics departments. Engineers and researchers may also use this book as a reference or tutorial to help with the modeling and simulation of the Mars entry problem due to its thorough simulations and analyses.