Applications Of Nonlinear Analysis

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Applications of Nonlinear Analysis

Themistocles M. Rassias
Applications of Nonlinear Analysis Book PDF

Author : Themistocles M. Rassias
Publisher : Springer
Page : 931 pages
File Size : 40,7 Mb
Release : 2018-06-29
Category : Mathematics
ISBN : 9783319898155

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Applications of Nonlinear Analysis by Themistocles M. Rassias Pdf

New applications, research, and fundamental theories in nonlinear analysis are presented in this book. Each chapter provides a unique insight into a large domain of research focusing on functional equations, stability theory, approximation theory, inequalities, nonlinear functional analysis, and calculus of variations with applications to optimization theory. Topics include: Fixed point theory Fixed-circle theory Coupled fixed points Nonlinear duality in Banach spaces Jensen's integral inequality and applications Nonlinear differential equations Nonlinear integro-differential equations Quasiconvexity, Stability of a Cauchy-Jensen additive mapping Generalizations of metric spaces Hilbert-type integral inequality, Solitons Quadratic functional equations in fuzzy Banach spaces Asymptotic orbits in Hill’sproblem Time-domain electromagnetics Inertial Mann algorithms Mathematical modelling Robotics Graduate students and researchers will find this book helpful in comprehending current applications and developments in mathematical analysis. Research scientists and engineers studying essential modern methods and techniques to solve a variety of problems will find this book a valuable source filled with examples that illustrate concepts.

An Introduction to Nonlinear Analysis: Theory

Zdzislaw Denkowski,Stanislaw Migórski,Nikolaos S. Papageorgiou
An Introduction to Nonlinear Analysis Theory Book PDF

Author : Zdzislaw Denkowski,Stanislaw Migórski,Nikolaos S. Papageorgiou
Publisher : Springer Science & Business Media
Page : 699 pages
File Size : 43,8 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781441991584

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An Introduction to Nonlinear Analysis: Theory by Zdzislaw Denkowski,Stanislaw Migórski,Nikolaos S. Papageorgiou Pdf

An Introduction to Nonlinear Analysis: Theory is an overview of some basic, important aspects of Nonlinear Analysis, with an emphasis on those not included in the classical treatment of the field. Today Nonlinear Analysis is a very prolific part of modern mathematical analysis, with fascinating theory and many different applications ranging from mathematical physics and engineering to social sciences and economics. Topics covered in this book include the necessary background material from topology, measure theory and functional analysis (Banach space theory). The text also deals with multivalued analysis and basic features of nonsmooth analysis, providing a solid background for the more applications-oriented material of the book An Introduction to Nonlinear Analysis: Applications by the same authors. The book is self-contained and accessible to the newcomer, complete with numerous examples, exercises and solutions. It is a valuable tool, not only for specialists in the field interested in technical details, but also for scientists entering Nonlinear Analysis in search of promising directions for research.

Nonlinear Analysis: Problems, Applications and Computational Methods

Zakia Hammouch,Hemen Dutta,Said Melliani,Michael Ruzhansky
Nonlinear Analysis Problems Applications and Computational Methods Book PDF

Author : Zakia Hammouch,Hemen Dutta,Said Melliani,Michael Ruzhansky
Publisher : Springer Nature
Page : 249 pages
File Size : 55,9 Mb
Release : 2020-11-13
Category : Technology & Engineering
ISBN : 9783030622992

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Nonlinear Analysis: Problems, Applications and Computational Methods by Zakia Hammouch,Hemen Dutta,Said Melliani,Michael Ruzhansky Pdf

This book is a collection of original research papers as proceedings of the 6th International Congress of the Moroccan Society of Applied Mathematics organized by Sultan Moulay Slimane University, Morocco, during 7th–9th November 2019. It focuses on new problems, applications and computational methods in the field of nonlinear analysis. It includes various topics including fractional differential systems of various types, time-fractional systems, nonlinear Jerk equations, reproducing kernel Hilbert space method, thrombin receptor activation mechanism model, labour force evolution model, nonsmooth vector optimization problems, anisotropic elliptic nonlinear problem, viscous primitive equations of geophysics, quadratic optimal control problem, multi-orthogonal projections and generalized continued fractions. The conference aimed at fostering cooperation among students, researchers and experts from diverse areas of applied mathematics and related sciences through fruitful deliberations on new research findings. This book is expected to be resourceful for researchers, educators and graduate students interested in applied mathematics and interactions of mathematics with other branches of science and engineering.

Nonlinear Analysis

Leszek Gasinski,Nikolaos S. Papageorgiou
Nonlinear Analysis Book PDF

Author : Leszek Gasinski,Nikolaos S. Papageorgiou
Publisher : CRC Press
Page : 992 pages
File Size : 52,7 Mb
Release : 2005-07-27
Category : Mathematics
ISBN : 1584884843

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Nonlinear Analysis by Leszek Gasinski,Nikolaos S. Papageorgiou Pdf

Nonlinear analysis is a broad, interdisciplinary field characterized by a remarkable mixture of analysis, topology, and applications. Its concepts and techniques provide the tools for developing more realistic and accurate models for a variety of phenomena encountered in fields ranging from engineering and chemistry to economics and biology. This volume focuses on topics in nonlinear analysis pertinent to the theory of boundary value problems and their application in areas such as control theory and the calculus of variations. It complements the many other books on nonlinear analysis by addressing topics previously discussed fully only in scattered research papers. These include recent results on critical point theory, nonlinear differential operators, and related regularity and comparison principles. The rich variety of topics, both theoretical and applied, make Nonlinear Analysis useful to anyone, whether graduate student or researcher, working in analysis or its applications in optimal control, theoretical mechanics, or dynamical systems. An appendix contains all of the background material needed, and a detailed bibliography forms a guide for further study.

Applied Nonlinear Analysis

Jean-Pierre Aubin,Ivar Ekeland
Applied Nonlinear Analysis Book PDF

Author : Jean-Pierre Aubin,Ivar Ekeland
Publisher : Courier Corporation
Page : 530 pages
File Size : 53,9 Mb
Release : 2006-01-01
Category : Mathematics
ISBN : 9780486453248

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Applied Nonlinear Analysis by Jean-Pierre Aubin,Ivar Ekeland Pdf

Nonlinear analysis, formerly a subsidiary of linear analysis, has advanced as an individual discipline, with its own methods and applications. Moreover, students can now approach this highly active field without the preliminaries of linear analysis. As this text demonstrates, the concepts of nonlinear analysis are simple, their proofs direct, and their applications clear. No prerequisites are necessary beyond the elementary theory of Hilbert spaces; indeed, many of the most interesting results lie in Euclidean spaces. In order to remain at an introductory level, this volume refrains from delving into technical difficulties and sophisticated results not in current use. Applications are explained as soon as possible, and theoretical aspects are geared toward practical use. Topics range from very smooth functions to nonsmooth ones, from convex variational problems to nonconvex ones, and from economics to mechanics. Background notes, comments, bibliography, and indexes supplement the text.

Nonlinear Analysis, Geometry and Applications

Diaraf Seck,Kinvi Kangni,Philibert Nang,Marie Salomon Sambou
Nonlinear Analysis Geometry and Applications Book PDF

Author : Diaraf Seck,Kinvi Kangni,Philibert Nang,Marie Salomon Sambou
Publisher : Birkhäuser
Page : 462 pages
File Size : 46,8 Mb
Release : 2021-11-21
Category : Mathematics
ISBN : 3030573389

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Nonlinear Analysis, Geometry and Applications by Diaraf Seck,Kinvi Kangni,Philibert Nang,Marie Salomon Sambou Pdf

This book gathers nineteen papers presented at the first NLAGA-BIRS Symposium, which was held at the Cheikh Anta Diop University in Dakar, Senegal, on June 24–28, 2019. The four-day symposium brought together African experts on nonlinear analysis and geometry and their applications, as well as their international partners, to present and discuss mathematical results in various areas. The main goal of the NLAGA project is to advance and consolidate the development of these mathematical fields in West and Central Africa with a focus on solving real-world problems such as coastal erosion, pollution, and urban network and population dynamics problems. The book addresses a range of topics related to partial differential equations, geometrical analysis of optimal shapes, geometric structures, optimization and optimal transportation, control theory, and mathematical modeling.

Methods of Nonlinear Analysis

Pavel Drabek,Jaroslav Milota
Methods of Nonlinear Analysis Book PDF

Author : Pavel Drabek,Jaroslav Milota
Publisher : Springer Science & Business Media
Page : 649 pages
File Size : 40,6 Mb
Release : 2013-01-18
Category : Mathematics
ISBN : 9783034803878

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Methods of Nonlinear Analysis by Pavel Drabek,Jaroslav Milota Pdf

In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Each method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. A large number of methods are applied to boundary value problems for both ordinary and partial differential equations. In this edition we have made minor revisions, added new material and organized the content slightly differently. In particular, we included evolutionary equations and differential equations on manifolds. The applications to partial differential equations follow every abstract framework of the method in question. The text is structured in two levels: a self-contained basic level and an advanced level - organized in appendices - for the more experienced reader. The last chapter contains more involved material and can be skipped by those new to the field. This book serves as both a textbook for graduate-level courses and a reference book for mathematicians, engineers and applied scientists

Elements of Nonlinear Analysis

Michel Chipot
Elements of Nonlinear Analysis Book PDF

Author : Michel Chipot
Publisher : Birkhäuser
Page : 258 pages
File Size : 43,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034884280

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Elements of Nonlinear Analysis by Michel Chipot Pdf

"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

Nonlinear Analysis - Theory and Methods

Nikolaos S. Papageorgiou,Vicenţiu D. Rădulescu,Dušan D. Repovš
Nonlinear Analysis Theory and Methods Book PDF

Author : Nikolaos S. Papageorgiou,Vicenţiu D. Rădulescu,Dušan D. Repovš
Publisher : Springer
Page : 577 pages
File Size : 49,9 Mb
Release : 2019-02-26
Category : Mathematics
ISBN : 9783030034306

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Nonlinear Analysis - Theory and Methods by Nikolaos S. Papageorgiou,Vicenţiu D. Rădulescu,Dušan D. Repovš Pdf

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.

Nonlinear Analysis and its Applications to Differential Equations

M.R. Grossinho,M. Ramos,C. Rebelo,L. Sanchez
Nonlinear Analysis and its Applications to Differential Equations Book PDF

Author : M.R. Grossinho,M. Ramos,C. Rebelo,L. Sanchez
Publisher : Springer Science & Business Media
Page : 402 pages
File Size : 50,7 Mb
Release : 2000-11-29
Category : Mathematics
ISBN : 0817641882

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Nonlinear Analysis and its Applications to Differential Equations by M.R. Grossinho,M. Ramos,C. Rebelo,L. Sanchez Pdf

In this book we present a significant part ofthe material given in an autumn school on "Nonlinear Analysis and Differential Equations," held at the CMAF (Centro de Matematica e Aplica

Methods of Nonlinear Analysis

Pavel Drabek,Jaroslav Milota
Methods of Nonlinear Analysis Book PDF

Author : Pavel Drabek,Jaroslav Milota
Publisher : Springer Science & Business Media
Page : 576 pages
File Size : 46,9 Mb
Release : 2007-10-24
Category : Mathematics
ISBN : 9783764381479

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Methods of Nonlinear Analysis by Pavel Drabek,Jaroslav Milota Pdf

In this book, the basic methods of nonlinear analysis are emphasized and illustrated in simple examples. Every considered method is motivated, explained in a general form but in the simplest possible abstract framework. Its applications are shown, particularly to boundary value problems for elementary ordinary or partial differential equations. The text is organized in two levels: a self-contained basic and, organized in appendices, an advanced level for the more experienced reader. Exercises are an organic part of the exposition and accompany the reader throughout the book.

Nonlinear Analysis for Human Movement Variability

Nicholas Stergiou
Nonlinear Analysis for Human Movement Variability Book PDF

Author : Nicholas Stergiou
Publisher : CRC Press
Page : 475 pages
File Size : 55,7 Mb
Release : 2018-09-03
Category : Medical
ISBN : 9781315360089

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Nonlinear Analysis for Human Movement Variability by Nicholas Stergiou Pdf

How Does the Body’s Motor Control System Deal with Repetition? While the presence of nonlinear dynamics can be explained and understood, it is difficult to be measured. A study of human movement variability with a focus on nonlinear dynamics, Nonlinear Analysis for Human Movement Variability, examines the characteristics of human movement within this framework, explores human movement in repetition, and explains how and why we analyze human movement data. It takes an in-depth look into the nonlinear dynamics of systems within and around us, investigates the temporal structure of variability, and discusses the properties of chaos and fractals as they relate to human movement. Providing a foundation for the use of nonlinear analysis and the study of movement variability in practice, the book describes the nonlinear dynamical features found in complex biological and physical systems, and introduces key concepts that help determine and identify patterns within the fluctuations of data that are repeated over time. It presents commonly used methods and novel approaches to movement analysis that reveal intriguing properties of the motor control system and introduce new ways of thinking about variability, adaptability, health, and motor learning. In addition, this text: Demonstrates how nonlinear measures can be used in a variety of different tasks and populations Presents a wide variety of nonlinear tools such as the Lyapunov exponent, surrogation, entropy, and fractal analysis Includes examples from research on how nonlinear analysis can be used to understand real-world applications Provides numerous case studies in postural control, gait, motor control, and motor development Nonlinear Analysis for Human Movement Variability advances the field of human movement variability research by dissecting human movement and studying the role of movement variability. The book proposes new ways to use nonlinear analysis and investigate the temporal structure of variability, and enables engineers, movement scientists, clinicians, and those in related disciplines to effectively apply nonlinear analysis in practice.

Nonlinear Analysis

Qamrul Hasan Ansari
Nonlinear Analysis Book PDF

Author : Qamrul Hasan Ansari
Publisher : Springer
Page : 362 pages
File Size : 48,8 Mb
Release : 2014-06-05
Category : Mathematics
ISBN : 9788132218838

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Nonlinear Analysis by Qamrul Hasan Ansari Pdf

Many of our daily-life problems can be written in the form of an optimization problem. Therefore, solution methods are needed to solve such problems. Due to the complexity of the problems, it is not always easy to find the exact solution. However, approximate solutions can be found. The theory of the best approximation is applicable in a variety of problems arising in nonlinear functional analysis and optimization. This book highlights interesting aspects of nonlinear analysis and optimization together with many applications in the areas of physical and social sciences including engineering. It is immensely helpful for young graduates and researchers who are pursuing research in this field, as it provides abundant research resources for researchers and post-doctoral fellows. This will be a valuable addition to the library of anyone who works in the field of applied mathematics, economics and engineering.

Recent Advances in Nonlinear Analysis and Optimization with Applications

Savin Treanţă
Recent Advances in Nonlinear Analysis and Optimization with Applications Book PDF

Author : Savin Treanţă
Publisher : Cambridge Scholars Publishing
Page : 146 pages
File Size : 54,6 Mb
Release : 2020-09-30
Category : Mathematics
ISBN : 9781527560383

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Recent Advances in Nonlinear Analysis and Optimization with Applications by Savin Treanţă Pdf

This book focuses on recent advances in nonlinear analysis and optimization with important applications drawn from various fields, such as artificial intelligence, genetic algorithms, optimization problems under uncertainty, and fuzzy logic. Specifically, it is devoted to nonlinear problems associated with optimization which have some connection with applications. The ideas and techniques developed here will serve to stimulate further research in this dynamic field, and, in this way, the book will become a valuable reference for researchers, engineers and students in the field of mathematics, management science, operations research, optimal control science and economics.

An Introduction to Nonlinear Analysis: Applications

Zdzislaw Denkowski,Stanislaw Migórski,Nikolaos S. Papageorgiou
An Introduction to Nonlinear Analysis Applications Book PDF

Author : Zdzislaw Denkowski,Stanislaw Migórski,Nikolaos S. Papageorgiou
Publisher : Springer Science & Business Media
Page : 844 pages
File Size : 54,5 Mb
Release : 2003-01-31
Category : Computers
ISBN : 0306474565

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An Introduction to Nonlinear Analysis: Applications by Zdzislaw Denkowski,Stanislaw Migórski,Nikolaos S. Papageorgiou Pdf

This book offers an exposition of the main applications of Nonlinear Analysis, beginning with a chapter on Nonlinear Operators and Fixed Points, a connecting point and bridge from Nonlinear Analysis theory to its applications. The topics covered include applications to ordinary and partial differential equations, optimization, optimal control, calculus of variations and mathematical economics. The presentation is supplemented with the inclusion of many exercises and their solutions.