Nonlinear Mappings Of Monotone Type

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Nonlinear Mappings of Monotone Type

Author : D. Pascall
Publisher : Springer
ISBN 13 :
Total Pages : 358 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Nonlinear Mappings of Monotone Type by : D. Pascall

Download or read book Nonlinear Mappings of Monotone Type written by D. Pascall and published by Springer. This book was released on 1978 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: The progress in nonlinear functional analysis has allowed the study of many nonlinear problems in mathematical physics. This book provides basic methods and results for the investigation of the special problems in this area. The connection between nonlinear analysis and convex analysis gave rise to the important field of monotone operators from a Banach space into its dual space. These mappings extend the properties of compact operators to the infinite-dimensional case. Generalizations of monotone operators are termed mappings of monotone type. Among these, in the last decade, the pseudo-monotone operators and the mappings of type (M) have provided a more proper tool for solving large classes of nonlinear differential and integral equations. The text dwells upon essentially four interrelated topics: Nonlinear mappings of mono tone type, Hammerstein equations, Odd operators and Variational problems. To make the approach easier, we have compiled some basic results on the topological degree and on the Sobolev spaces. In the applications we restrict our discussion to the existence of solutions for nonlinear elliptic equations. The present English editIOn was written starting from the Romanian book "Operatori neliniari" (Nonlinear Mappings) by the first author and his lectures delivered at the Universities of Bucharest and Rome. The improved final form of this book is the result of the joint work of the authors.

Nonlinear Ill-posed Problems of Monotone Type

Author : Yakov Alber
Publisher : Springer Science & Business Media
ISBN 13 : 1402043961
Total Pages : 422 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Nonlinear Ill-posed Problems of Monotone Type by : Yakov Alber

Download or read book Nonlinear Ill-posed Problems of Monotone Type written by Yakov Alber and published by Springer Science & Business Media. This book was released on 2006-02-23 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest in regularization methods for ill-posed nonlinear operator equations and variational inequalities of monotone type in Hilbert and Banach spaces has grown rapidly over recent years. Results in the field over the last three decades, previously only available in journal articles, are comprehensively explored with particular attention given to applications of regularization methods as well as to practical methods used in computational analysis.

Theory and Applications of Nonlinear Operators of Accretive and Monotone Type

Author : Athanass Kartsatos
Publisher : CRC Press
ISBN 13 : 9780824797218
Total Pages : 338 pages
Book Rating : 4.7/5 (972 download)

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Book Synopsis Theory and Applications of Nonlinear Operators of Accretive and Monotone Type by : Athanass Kartsatos

Download or read book Theory and Applications of Nonlinear Operators of Accretive and Monotone Type written by Athanass Kartsatos and published by CRC Press. This book was released on 1996-03-14 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is based upon a Special Session on the Theory and Applications of Nonlinear Operators of Accretive and Monotone Type held during the recent meeting of the American Mathematical Society in San Francisco. It examines current developments in non-linear analysis, emphasizing accretive and monotone operator theory. The book presents a major survey/research article on partial functional differential equations with delay and an important survey/research article on approximation solvability.

Monotone Operators in Banach Space and Nonlinear Partial Differential Equations

Author : R. E. Showalter
Publisher : American Mathematical Soc.
ISBN 13 : 0821893971
Total Pages : 296 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Monotone Operators in Banach Space and Nonlinear Partial Differential Equations by : R. E. Showalter

Download or read book Monotone Operators in Banach Space and Nonlinear Partial Differential Equations written by R. E. Showalter and published by American Mathematical Soc.. This book was released on 2013-02-22 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The objectives of this monograph are to present some topics from the theory of monotone operators and nonlinear semigroup theory which are directly applicable to the existence and uniqueness theory of initial-boundary-value problems for partial differential equations and to construct such operators as realizations of those problems in appropriate function spaces. A highlight of this presentation is the large number and variety of examples introduced to illustrate the connection between the theory of nonlinear operators and partial differential equations. These include primarily semilinear or quasilinear equations of elliptic or of parabolic type, degenerate cases with change of type, related systems and variational inequalities, and spatial boundary conditions of the usual Dirichlet, Neumann, Robin or dynamic type. The discussions of evolution equations include the usual initial-value problems as well as periodic or more general nonlocal constraints, history-value problems, those which may change type due to a possibly vanishing coefficient of the time derivative, and other implicit evolution equations or systems including hysteresis models. The scalar conservation law and semilinear wave equations are briefly mentioned, and hyperbolic systems arising from vibrations of elastic-plastic rods are developed. The origins of a representative sample of such problems are given in the appendix.

Nonlinear Operators and Nonlinear Equations of Evolution in Banach Spaces

Author : Felix E. Browder
Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Nonlinear Operators and Nonlinear Equations of Evolution in Banach Spaces by : Felix E. Browder

Download or read book Nonlinear Operators and Nonlinear Equations of Evolution in Banach Spaces written by Felix E. Browder and published by . This book was released on 1976 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topological Nonlinear Analysis II

Author : Michele Matzeu
Publisher : Springer Science & Business Media
ISBN 13 : 146124126X
Total Pages : 609 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Topological Nonlinear Analysis II by : Michele Matzeu

Download or read book Topological Nonlinear Analysis II written by Michele Matzeu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of the present volume is to give a survey of some of the most significant achievements obtained by topological methods in nonlin ear analysis during the last three decades. It is intended, at least partly, as a continuation of Topological Nonlinear Analysis: Degree, Singularity and Varia tions, published in 1995. The survey articles presented are concerned with three main streams of research, that is topological degree, singularity theory and variational methods, They reflect the personal taste of the authors, all of them well known and distinguished specialists. A common feature of these articles is to start with a historical introduction and conclude with recent results, giving a dynamic picture of the state of the art on these topics. Let us mention the fact that most of the materials in this book were pre sented by the authors at the "Second Topological Analysis Workshop on Degree, Singularity and Variations: Developments of the Last 25 Years," held in June 1995 at Villa Tuscolana, Frascati, near Rome. Michele Matzeu Alfonso Vignoli Editors Topological Nonlinear Analysis II Degree, Singularity and Variations Classical Solutions for a Perturbed N-Body System Gianfausto Dell 'A ntonio O. Introduction In this review I shall consider the perturbed N-body system, i.e., a system composed of N point bodies of masses ml, ... mN, described in cartesian co ordinates by the system of equations (0.1) where f) V'k,m == -£l--' m = 1, 2, 3.

Set Valued Mappings with Applications in Nonlinear Analysis

Author : Donal O'Regan
Publisher : CRC Press
ISBN 13 : 9780203216491
Total Pages : 498 pages
Book Rating : 4.2/5 (164 download)

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Book Synopsis Set Valued Mappings with Applications in Nonlinear Analysis by : Donal O'Regan

Download or read book Set Valued Mappings with Applications in Nonlinear Analysis written by Donal O'Regan and published by CRC Press. This book was released on 2002-09-26 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest in the mathematical analysis of multi-functions has increased rapidly over the past thirty years, partly because of its applications in fields such as biology, control theory and optimization, economics, game theory, and physics. Set Valued Mappings with Applications to Nonlinear Analysis contains 29 research articles from leading mathematicians in this area. The contributors were invited to submit papers on topics such as integral inclusion, ordinary and partial differential inclusions, fixed point theorems, boundary value problems, and optimal control. This collection will be of interest to researchers in analysis and will pave the way for the creation of new mathematics in the future.

Nonlinear Analysis, Geometry and Applications

Author : Diaraf Seck
Publisher : Springer Nature
ISBN 13 : 3031526813
Total Pages : 410 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Nonlinear Analysis, Geometry and Applications by : Diaraf Seck

Download or read book Nonlinear Analysis, Geometry and Applications written by Diaraf Seck and published by Springer Nature. This book was released on with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Nonlinear Analysis and Fixed Point Theory

Author : Hemant Kumar Pathak
Publisher : Springer
ISBN 13 : 9811088667
Total Pages : 845 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis An Introduction to Nonlinear Analysis and Fixed Point Theory by : Hemant Kumar Pathak

Download or read book An Introduction to Nonlinear Analysis and Fixed Point Theory written by Hemant Kumar Pathak and published by Springer. This book was released on 2018-05-19 with total page 845 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book systematically introduces the theory of nonlinear analysis, providing an overview of topics such as geometry of Banach spaces, differential calculus in Banach spaces, monotone operators, and fixed point theorems. It also discusses degree theory, nonlinear matrix equations, control theory, differential and integral equations, and inclusions. The book presents surjectivity theorems, variational inequalities, stochastic game theory and mathematical biology, along with a large number of applications of these theories in various other disciplines. Nonlinear analysis is characterised by its applications in numerous interdisciplinary fields, ranging from engineering to space science, hydromechanics to astrophysics, chemistry to biology, theoretical mechanics to biomechanics and economics to stochastic game theory. Organised into ten chapters, the book shows the elegance of the subject and its deep-rooted concepts and techniques, which provide the tools for developing more realistic and accurate models for a variety of phenomena encountered in diverse applied fields. It is intended for graduate and undergraduate students of mathematics and engineering who are familiar with discrete mathematical structures, differential and integral equations, operator theory, measure theory, Banach and Hilbert spaces, locally convex topological vector spaces, and linear functional analysis.

Nonlinear mappings of monotone type

Author : D. Pascall
Publisher : Springer
ISBN 13 : 9789400995444
Total Pages : 0 pages
Book Rating : 4.9/5 (954 download)

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Book Synopsis Nonlinear mappings of monotone type by : D. Pascall

Download or read book Nonlinear mappings of monotone type written by D. Pascall and published by Springer. This book was released on 2014-01-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The progress in nonlinear functional analysis has allowed the study of many nonlinear problems in mathematical physics. This book provides basic methods and results for the investigation of the special problems in this area. The connection between nonlinear analysis and convex analysis gave rise to the important field of monotone operators from a Banach space into its dual space. These mappings extend the properties of compact operators to the infinite-dimensional case. Generalizations of monotone operators are termed mappings of monotone type. Among these, in the last decade, the pseudo-monotone operators and the mappings of type (M) have provided a more proper tool for solving large classes of nonlinear differential and integral equations. The text dwells upon essentially four interrelated topics: Nonlinear mappings of mono tone type, Hammerstein equations, Odd operators and Variational problems. To make the approach easier, we have compiled some basic results on the topological degree and on the Sobolev spaces. In the applications we restrict our discussion to the existence of solutions for nonlinear elliptic equations. The present English editIOn was written starting from the Romanian book "Operatori neliniari" (Nonlinear Mappings) by the first author and his lectures delivered at the Universities of Bucharest and Rome. The improved final form of this book is the result of the joint work of the authors.

Nonlinear Functional Analysis and Its Applications, Part 1

Author : Felix E. Browder
Publisher : American Mathematical Soc.
ISBN 13 : 0821814710
Total Pages : 556 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Nonlinear Functional Analysis and Its Applications, Part 1 by : Felix E. Browder

Download or read book Nonlinear Functional Analysis and Its Applications, Part 1 written by Felix E. Browder and published by American Mathematical Soc.. This book was released on 1986 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topological Methods in Nonlinear Functional Analysis

Author : Sankatha Prasad Singh
Publisher : American Mathematical Soc.
ISBN 13 : 0821850237
Total Pages : 226 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Topological Methods in Nonlinear Functional Analysis by : Sankatha Prasad Singh

Download or read book Topological Methods in Nonlinear Functional Analysis written by Sankatha Prasad Singh and published by American Mathematical Soc.. This book was released on 1983 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers the proceedings of the session on Fixed Point Theory and Applications held at the University of Toronto, August 21-26, 1982. This work presents theorems on the existence of fixed points of nonexpansive mappings and the convergence of the sequence of iterates of nonexpansive and quasi-nonexpansive mappings.

Topological and Variational Methods for Nonlinear Boundary Value Problems

Author : Pavel Drabek
Publisher : CRC Press
ISBN 13 : 9780582309210
Total Pages : 172 pages
Book Rating : 4.3/5 (92 download)

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Book Synopsis Topological and Variational Methods for Nonlinear Boundary Value Problems by : Pavel Drabek

Download or read book Topological and Variational Methods for Nonlinear Boundary Value Problems written by Pavel Drabek and published by CRC Press. This book was released on 1997-04-17 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the rapidly developing area of nonlinear theory of differential equations, many important results have been obtained by the use of nonlinear functional analysis based on topological and variational methods. The survey papers presented in this volume represent the current state of the art in the subject. The methods outlined in this book can be used to obtain new results concerning the existence, uniqueness, multiplicity, and bifurcation of the solutions of nonlinear boundary value problems for ordinary and partial differential equations. The contributions to this volume are from well known mathematicians, and every paper contained in this book can serve both as a source of reference for researchers working in differential equations and as a starting point for those wishing to pursue research in this direction. With research reports in the field typically scattered in many papers within various journals, this book provides the reader with recent results in an accessible form.

Nonlinear Analysis - Theory and Methods

Author : Nikolaos S. Papageorgiou
Publisher : Springer
ISBN 13 : 3030034305
Total Pages : 586 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 586 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.

An Introduction to Nonlinear Analysis: Applications

Author : Zdzislaw Denkowski
Publisher : Springer Science & Business Media
ISBN 13 : 9780306474569
Total Pages : 844 pages
Book Rating : 4.4/5 (745 download)

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Book Synopsis An Introduction to Nonlinear Analysis: Applications by : Zdzislaw Denkowski

Download or read book An Introduction to Nonlinear Analysis: Applications written by Zdzislaw Denkowski and published by Springer Science & Business Media. This book was released on 2003-01-31 with total page 844 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Topological Fixed Point Theory of Multivalued Mappings

Author : Lech Górniewicz
Publisher : Springer Science & Business Media
ISBN 13 : 1402046669
Total Pages : 548 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Topological Fixed Point Theory of Multivalued Mappings by : Lech Górniewicz

Download or read book Topological Fixed Point Theory of Multivalued Mappings written by Lech Górniewicz and published by Springer Science & Business Media. This book was released on 2006-06-03 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the topological fixed point theory of multivalued mappings including applications to differential inclusions and mathematical economy. It is the first monograph dealing with the fixed point theory of multivalued mappings in metric ANR spaces. Although the theoretical material was tendentiously selected with respect to applications, the text is self-contained. Current results are presented.

Variational Methods in Nonlinear Analysis

Author : Dimitrios C. Kravvaritis
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110647389
Total Pages : 500 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 500 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.