Nonlinear Analysis Theory And Methods

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Nonlinear Analysis - Theory and Methods

Author : Nikolaos S. Papageorgiou
Publisher : Springer
ISBN 13 : 3030034305
Total Pages : 577 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Nonlinear Analysis - Theory and Methods by : Nikolaos S. Papageorgiou

Download or read book Nonlinear Analysis - Theory and Methods written by Nikolaos S. Papageorgiou and published by Springer. This book was released on 2019-02-26 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Methods in Nonlinear Analysis

Author : Kung-Ching Chang
Publisher : Springer Science & Business Media
ISBN 13 : 3540292322
Total Pages : 448 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Methods in Nonlinear Analysis by : Kung-Ching Chang

Download or read book Methods in Nonlinear Analysis written by Kung-Ching Chang and published by Springer Science & Business Media. This book was released on 2005-11-21 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a systematic presentation of up-to-date material scattered throughout the literature from the methodology point of view. It reviews the basic theories and methods, with many interesting problems in partial and ordinary differential equations, differential geometry and mathematical physics as applications, and provides the necessary preparation for almost all important aspects in contemporary studies. All methods are illustrated by carefully chosen examples from mechanics, physics, engineering and geometry.

Theory of Nonlinear Structural Analysis

Author : Gang Li
Publisher : John Wiley & Sons
ISBN 13 : 1118718062
Total Pages : 372 pages
Book Rating : 4.1/5 (187 download)

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Book Synopsis Theory of Nonlinear Structural Analysis by : Gang Li

Download or read book Theory of Nonlinear Structural Analysis written by Gang Li and published by John Wiley & Sons. This book was released on 2014-06-23 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive book focusing on the Force Analogy Method, a novel method for nonlinear dynamic analysis and simulation This book focusses on the Force Analogy Method, a novel method for nonlinear dynamic analysis and simulation. A review of the current nonlinear analysis method for earthquake engineering will be summarized and explained. Additionally, how the force analogy method can be used in nonlinear static analysis will be discussed through several nonlinear static examples. The emphasis of this book is to extend and develop the force analogy method to performing dynamic analysis on structures under earthquake excitations, where the force analogy method is incorporated in the flexural element, axial element, shearing element and so on will be exhibited. Moreover, the geometric nonlinearity into nonlinear dynamic analysis algorithm based on the force analogy method is included. The application of the force analogy method in seismic design for buildings and structural control area is discussed and combined with practical engineering.

An Introduction to Nonlinear Analysis

Author : Martin Schechter
Publisher : Cambridge University Press
ISBN 13 : 9780521843973
Total Pages : 380 pages
Book Rating : 4.8/5 (439 download)

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Book Synopsis An Introduction to Nonlinear Analysis by : Martin Schechter

Download or read book An Introduction to Nonlinear Analysis written by Martin Schechter and published by Cambridge University Press. This book was released on 2004 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The techniques that can be used to solve non-linear problems are far different than those that are used to solve linear problems. Many courses in analysis and applied mathematics attack linear cases simply because they are easier to solve and do not require a large theoretical background in order to approach them. Professor Schechter's 2005 book is devoted to non-linear methods using the least background material possible and the simplest linear techniques. An understanding of the tools for solving non-linear problems is developed whilst demonstrating their application to problems in one dimension and then leading to higher dimensions. The reader is guided using simple exposition and proof, assuming a minimal set of pre-requisites. For completion, a set of appendices covering essential basics in functional analysis and metric spaces is included, making this ideal as an accompanying text on an upper-undergraduate or graduate course, or even for self-study.

Nonlinear Analysis - Theory and Methods

Author : Nikolaos Socrates Papageorgiou
Publisher :
ISBN 13 : 9783030034313
Total Pages : pages
Book Rating : 4.0/5 (343 download)

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Book Synopsis Nonlinear Analysis - Theory and Methods by : Nikolaos Socrates Papageorgiou

Download or read book Nonlinear Analysis - Theory and Methods written by Nikolaos Socrates Papageorgiou and published by . This book was released on 2019 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Applications of Nonlinear Analysis

Author : Themistocles M. Rassias
Publisher : Springer
ISBN 13 : 3319898159
Total Pages : 931 pages
Book Rating : 4.3/5 (198 download)

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Book Synopsis Applications of Nonlinear Analysis by : Themistocles M. Rassias

Download or read book Applications of Nonlinear Analysis written by Themistocles M. Rassias and published by Springer. This book was released on 2018-06-29 with total page 931 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonlinear Systems Analysis

Author : M. Vidyasagar
Publisher : SIAM
ISBN 13 : 9780898719185
Total Pages : 515 pages
Book Rating : 4.7/5 (191 download)

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Book Synopsis Nonlinear Systems Analysis by : M. Vidyasagar

Download or read book Nonlinear Systems Analysis written by M. Vidyasagar and published by SIAM. This book was released on 2002-01-01 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: When M. Vidyasagar wrote the first edition of Nonlinear Systems Analysis, most control theorists considered the subject of nonlinear systems a mystery. Since then, advances in the application of differential geometric methods to nonlinear analysis have matured to a stage where every control theorist needs to possess knowledge of the basic techniques because virtually all physical systems are nonlinear in nature. The second edition, now republished in SIAM's Classics in Applied Mathematics series, provides a rigorous mathematical analysis of the behavior of nonlinear control systems under a variety of situations. It develops nonlinear generalizations of a large number of techniques and methods widely used in linear control theory. The book contains three extensive chapters devoted to the key topics of Lyapunov stability, input-output stability, and the treatment of differential geometric control theory. Audience: this text is designed for use at the graduate level in the area of nonlinear systems and as a resource for professional researchers and practitioners working in areas such as robotics, spacecraft control, motor control, and power systems.

Geometrical Methods of Nonlinear Analysis

Author : Alexander Krasnosel'skii
Publisher : Springer
ISBN 13 : 9783642694110
Total Pages : 0 pages
Book Rating : 4.6/5 (941 download)

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Book Synopsis Geometrical Methods of Nonlinear Analysis by : Alexander Krasnosel'skii

Download or read book Geometrical Methods of Nonlinear Analysis written by Alexander Krasnosel'skii and published by Springer. This book was released on 2011-11-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometrical (in particular, topological) methods in nonlinear analysis were originally invented by Banach, Birkhoff, Kellogg, Schauder, Leray, and others in existence proofs. Since about the fifties, these methods turned out to be essentially the sole approach to a variety of new problems: the investigation of iteration processes and other procedures in numerical analysis, in bifur cation problems and branching of solutions, estimates on the number of solutions and criteria for the existence of nonzero solutions, the analysis of the structure of the solution set, etc. These methods have been widely applied to the theory of forced vibrations and auto-oscillations, to various problems in the theory of elasticity and fluid. mechanics, to control theory, theoretical physics, and various parts of mathematics. At present, nonlinear analysis along with its geometrical, topological, analytical, variational, and other methods is developing tremendously thanks to research work in many countries. Totally new ideas have been advanced, difficult problems have been solved, and new applications have been indicated. To enumerate the publications of the last few years one would need dozens of pages. On the other hand, many problems of non linear analysis are still far from a solution (problems arising from the internal development of mathematics and, in particular, problems arising in the process of interpreting new problems in the natural sciences). We hope that the English edition of our book will contribute to the further propagation of the ideas of nonlinear analysis.

Variational Methods in Nonlinear Analysis

Author : Dimitrios C. Kravvaritis
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110647451
Total Pages : 384 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis Variational Methods in Nonlinear Analysis by : Dimitrios C. Kravvaritis

Download or read book Variational Methods in Nonlinear Analysis written by Dimitrios C. Kravvaritis and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-04-06 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This well-thought-out book covers the fundamentals of nonlinear analysis, with a particular focus on variational methods and their applications. Starting from preliminaries in functional analysis, it expands in several directions such as Banach spaces, fixed point theory, nonsmooth analysis, minimax theory, variational calculus and inequalities, critical point theory, monotone, maximal monotone and pseudomonotone operators, and evolution problems.

Frequency-domain Methods for Nonlinear Analysis

Author : Gennadi? Alekseevich Leonov
Publisher : World Scientific
ISBN 13 : 9789810221461
Total Pages : 522 pages
Book Rating : 4.2/5 (214 download)

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Book Synopsis Frequency-domain Methods for Nonlinear Analysis by : Gennadi? Alekseevich Leonov

Download or read book Frequency-domain Methods for Nonlinear Analysis written by Gennadi? Alekseevich Leonov and published by World Scientific. This book was released on 1996 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with the investigation of global attractors of nonlinear dynamical systems. The exposition proceeds from the simplest attractor of a single equilibrium to more complicated ones, i.e. to finite, denumerable and continuum equilibria sets; and further, to cycles, homoclinic and heteroclinic orbits; and finally, to strange attractors consisting of irregular unstable trajectories. On the complicated equilibria sets, the methods of Lyapunov stability theory are transferred. They are combined with stability techniques specially elaborated for such sets. The results are formulated as frequency-domain criteria. The methods connected with the theorems of existence of cycles and homoclinic orbits are developed. The estimates of Hausdorff dimensions of attractors are presented.

Nonlinear Time Series

Author : Randal Douc
Publisher : CRC Press
ISBN 13 : 1466502347
Total Pages : 548 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Nonlinear Time Series by : Randal Douc

Download or read book Nonlinear Time Series written by Randal Douc and published by CRC Press. This book was released on 2014-01-06 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text emphasizes nonlinear models for a course in time series analysis. After introducing stochastic processes, Markov chains, Poisson processes, and ARMA models, the authors cover functional autoregressive, ARCH, threshold AR, and discrete time series models as well as several complementary approaches. They discuss the main limit theorems for Markov chains, useful inequalities, statistical techniques to infer model parameters, and GLMs. Moving on to HMM models, the book examines filtering and smoothing, parametric and nonparametric inference, advanced particle filtering, and numerical methods for inference.

Solitons in Field Theory and Nonlinear Analysis

Author : Yisong Yang
Publisher : Springer Science & Business Media
ISBN 13 : 1475765487
Total Pages : 571 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Solitons in Field Theory and Nonlinear Analysis by : Yisong Yang

Download or read book Solitons in Field Theory and Nonlinear Analysis written by Yisong Yang and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are two approaches in the study of differential equations of field theory. The first, finding closed-form solutions, works only for a narrow category of problems. Written by a well-known active researcher, this book focuses on the second, which is to investigate solutions using tools from modern nonlinear analysis.

Nonlinear Analysis

Author : Qamrul Hasan Ansari
Publisher : Springer
ISBN 13 : 8132218833
Total Pages : 352 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis Nonlinear Analysis by : Qamrul Hasan Ansari

Download or read book Nonlinear Analysis written by Qamrul Hasan Ansari and published by Springer. This book was released on 2014-06-05 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonlinear Analysis

Author : Leszek Gasinski
Publisher : CRC Press
ISBN 13 : 9781584884842
Total Pages : 992 pages
Book Rating : 4.8/5 (848 download)

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Book Synopsis Nonlinear Analysis by : Leszek Gasinski

Download or read book Nonlinear Analysis written by Leszek Gasinski and published by CRC Press. This book was released on 2005-07-27 with total page 992 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Elements of Nonlinear Analysis

Author : Michel Chipot
Publisher : Birkhäuser
ISBN 13 : 3034884281
Total Pages : 258 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Elements of Nonlinear Analysis by : Michel Chipot

Download or read book Elements of Nonlinear Analysis written by Michel Chipot and published by Birkhäuser. This book was released on 2012-12-06 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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

Computational Methods in Nonlinear Analysis

Author : Ioannis K. Argyros
Publisher : World Scientific
ISBN 13 : 9814405833
Total Pages : 592 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Computational Methods in Nonlinear Analysis by : Ioannis K. Argyros

Download or read book Computational Methods in Nonlinear Analysis written by Ioannis K. Argyros and published by World Scientific. This book was released on 2013 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of computational sciences has seen a considerable development in mathematics, engineering sciences, and economic equilibrium theory. Researchers in this field are faced with the problem of solving a variety of equations or variational inequalities. We note that in computational sciences, the practice of numerical analysis for finding such solutions is essentially connected to variants of Newton's method. The efficient computational methods for finding the solutions of fixed point problems, nonlinear equations and variational inclusions are the first goal of the present book. The second goal is the applications of these methods in nonlinear problems and the connection with fixed point theory. This book is intended for researchers in computational sciences, and as a reference book for an advanced computational methods in nonlinear analysis. We collect the recent results on the convergence analysis of numerical algorithms in both finite-dimensional and infinite-dimensional spaces, and present several applications and connections with fixed point theory. The book contains abundant and updated bibliography, and provides comparison between various investigations made in recent years in the field of computational nonlinear analysis.

Nonlinear Analysis and Semilinear Elliptic Problems

Author : Antonio Ambrosetti
Publisher : Cambridge University Press
ISBN 13 : 9780521863209
Total Pages : 334 pages
Book Rating : 4.8/5 (632 download)

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Book Synopsis Nonlinear Analysis and Semilinear Elliptic Problems by : Antonio Ambrosetti

Download or read book Nonlinear Analysis and Semilinear Elliptic Problems written by Antonio Ambrosetti and published by Cambridge University Press. This book was released on 2007-01-04 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: A graduate text explaining how methods of nonlinear analysis can be used to tackle nonlinear differential equations. Suitable for mathematicians, physicists and engineers, topics covered range from elementary tools of bifurcation theory and analysis to critical point theory and elliptic partial differential equations. The book is amply illustrated with many exercises.