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Author : J.P. Gossez
Publisher : Springer
ISBN 13 : 3540380752
Total Pages : 247 pages
Book Rating : 4.5/5 (43 download)
Download or read book Nonlinear Operators and the Calculus of Variations written by J.P. Gossez and published by Springer. This book was released on 2006-11-14 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J.P. Gossez
Publisher : Berlin ; New York : Springer-Verlag
ISBN 13 :
Total Pages : 252 pages
Book Rating : 4.3/5 (91 download)
Download or read book Nonlinear Operators and the Calculus of Variations written by J.P. Gossez and published by Berlin ; New York : Springer-Verlag. This book was released on 1976-09-20 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harold Thayer Davis
Publisher :
ISBN 13 :
Total Pages : 590 pages
Book Rating : 4.:/5 (319 download)
Download or read book Introduction to Nonlinear Differential and Integral Equations written by Harold Thayer Davis and published by . This book was released on 1960 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Louis B. Rall
Publisher :
ISBN 13 :
Total Pages : 608 pages
Book Rating : 4.3/5 (91 download)
Download or read book Nonlinear Functional Analysis and Applications written by Louis B. Rall and published by . This book was released on 1971 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of an advanced seminar conducted by the Mathematics Research Center at the University of Wisconsin, Madison, held on October 12-14, 1970. This collection of papers is intended to give a reasonably self-contained introduction to the basic concepts and techniques of this field, highlighted by a few significant applications.
Author : Delfim F M Torres
Publisher : World Scientific Publishing Company
ISBN 13 : 184816968X
Total Pages : 292 pages
Book Rating : 4.8/5 (481 download)
Download or read book Introduction To The Fractional Calculus Of Variations written by Delfim F M Torres and published by World Scientific Publishing Company. This book was released on 2012-09-14 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book provides a broad introduction to the fascinating and beautiful subject of Fractional Calculus of Variations (FCV). In 1996, FVC evolved in order to better describe non-conservative systems in mechanics. The inclusion of non-conservatism is extremely important from the point of view of applications. Forces that do not store energy are always present in real systems. They remove energy from the systems and, as a consequence, Noether's conservation laws cease to be valid. However, it is still possible to obtain the validity of Noether's principle using FCV. The new theory provides a more realistic approach to physics, allowing us to consider non-conservative systems in a natural way. The authors prove the necessary Euler-Lagrange conditions and corresponding Noether theorems for several types of fractional variational problems, with and without constraints, using Lagrangian and Hamiltonian formalisms. Sufficient optimality conditions are also obtained under convexity, and Leitmann's direct method is discussed within the framework of FCV.The book is self-contained and unified in presentation. It may be used as an advanced textbook by graduate students and ambitious undergraduates in mathematics and mechanics. It provides an opportunity for an introduction to FCV for experienced researchers. The explanations in the book are detailed, in order to capture the interest of the curious reader, and the book provides the necessary background material required to go further into the subject and explore the rich research literature./a
Author : L. P. Lebedev
Publisher : World Scientific
ISBN 13 : 9812794999
Total Pages : 435 pages
Book Rating : 4.8/5 (127 download)
Download or read book The Calculus of Variations and Functional Analysis written by L. P. Lebedev and published by World Scientific. This book was released on 2003 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is aimed at those who are concerned about Chinese medicine - how it works, what its current state is and, most important, how to make full use of it. The audience therefore includes clinicians who want to serve their patients better and patients who are eager to supplement their own conventional treatment. The authors of the book belong to three different fields, modern medicine, Chinese medicine and pharmacology. They provide information from their areas of expertise and concern, attempting to make it comprehensive for users. The approach is macroscopic and philosophical; readers convinced of the philosophy are to seek specific assistance.
Author : Victor Yu Reshetnyak
Publisher : World Scientific
ISBN 13 : 9814500763
Total Pages : 385 pages
Book Rating : 4.8/5 (145 download)
Download or read book Ordinary Differential Equations And Calculus Of Variations written by Victor Yu Reshetnyak and published by World Scientific. This book was released on 1995-06-30 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This problem book contains exercises for courses in differential equations and calculus of variations at universities and technical institutes. It is designed for non-mathematics students and also for scientists and practicing engineers who feel a need to refresh their knowledge. The book contains more than 260 examples and about 1400 problems to be solved by the students — much of which have been composed by the authors themselves. Numerous references are given at the end of the book to furnish sources for detailed theoretical approaches, and expanded treatment of applications.
Author : R. E. Showalter
Publisher : American Mathematical Soc.
ISBN 13 : 0821893971
Total Pages : 296 pages
Book Rating : 4.8/5 (218 download)
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.
Author : COLOMBINI
Publisher : Springer Science & Business Media
ISBN 13 : 1461598311
Total Pages : 503 pages
Book Rating : 4.4/5 (615 download)
Download or read book Partial Differential Equations and the Calculus of Variations written by COLOMBINI and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Italian school of Mathematical Analysis has long and glo rious traditions. In the last thirty years it owes very much to the scientific pre-eminence of Ennio De Giorgi, Professor of Mathemati cal Analysis at the Scuola Normale Superiore di Pisa. His fundamental theorems in Calculus of Variations, in Minimal Surfaces Theory, in Partial Differential Equations, in Axiomatic Set Theory as well as the fertility of his mind to discover both general mathematical structures and techniques which frame many different problems, and profound and meaningful examples which show the limits of a theory and give origin to new results and theories, makes him an absolute reference point for all Italian mathematicians, and a well-known and valued personage in the international mathematical world. We have been students of Ennio de Giorgi. Now, we are glad to present to him, together with all his collegues, friends and former students, these Essays of Mathematical Analysis written in his hon our on the occasion of his sixtieth birthday (February 8th, 1988), with our best wishes and our thanks for all he gave in the past and will give us in the future. We have added to the research papers of this book the text of a conversation with Ennio De Giorgi about the diffusion and the communication of science and, in particular, of Mathematics.
Author : Dimitrios C. Kravvaritis
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110647451
Total Pages : 584 pages
Book Rating : 4.1/5 (16 download)
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 584 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.
Author : Daniel Liberzon
Publisher : Princeton University Press
ISBN 13 : 0691151873
Total Pages : 255 pages
Book Rating : 4.6/5 (911 download)
Download or read book Calculus of Variations and Optimal Control Theory written by Daniel Liberzon and published by Princeton University Press. This book was released on 2012 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers a concise yet rigorous introduction to calculus of variations and optimal control theory, and is a self-contained resource for graduate students in engineering, applied mathematics, and related subjects. Designed specifically for a one-semester course, the book begins with calculus of variations, preparing the ground for optimal control. It then gives a complete proof of the maximum principle and covers key topics such as the Hamilton-Jacobi-Bellman theory of dynamic programming and linear-quadratic optimal control. Calculus of Variations and Optimal Control Theory also traces the historical development of the subject and features numerous exercises, notes and references at the end of each chapter, and suggestions for further study. Offers a concise yet rigorous introduction Requires limited background in control theory or advanced mathematics Provides a complete proof of the maximum principle Uses consistent notation in the exposition of classical and modern topics Traces the historical development of the subject Solutions manual (available only to teachers) Leading universities that have adopted this book include: University of Illinois at Urbana-Champaign ECE 553: Optimum Control Systems Georgia Institute of Technology ECE 6553: Optimal Control and Optimization University of Pennsylvania ESE 680: Optimal Control Theory University of Notre Dame EE 60565: Optimal Control
Author : Bernard Dacorogna
Publisher : Imperial College Press
ISBN 13 : 1848163339
Total Pages : 241 pages
Book Rating : 4.8/5 (481 download)
Download or read book Introduction to the Calculus of Variations written by Bernard Dacorogna and published by Imperial College Press. This book was released on 2009 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: The calculus of variations is one of the oldest subjects in mathematics, yet is very much alive and is still evolving. Besides its mathematical importance and its links to other branches of mathematics, such as geometry or differential equations, it is widely used in physics, engineering, economics and biology.This book serves both as a guide to the expansive existing literature and as an aid to the non-specialist ? mathematicians, physicists, engineers, students or researchers ? in discovering the subject's most important problems, results and techniques. Despite the aim of addressing non-specialists, mathematical rigor has not been sacrificed; most of the theorems are either fully proved or proved under more stringent conditions.In this new edition, the chapter on regularity has been significantly expanded and 27 new exercises have been added. The book, containing a total of 103 exercises with detailed solutions, is well designed for a course at both undergraduate and graduate levels.
Author : Carlo Bardaro
Publisher : Walter de Gruyter
ISBN 13 : 3110199270
Total Pages : 214 pages
Book Rating : 4.1/5 (11 download)
Download or read book Nonlinear Integral Operators and Applications written by Carlo Bardaro and published by Walter de Gruyter. This book was released on 2008-08-22 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 1903 Fredholm published his famous paper on integral equations. Since then linear integral operators have become an important tool in many areas, including the theory of Fourier series and Fourier integrals, approximation theory and summability theory, and the theory of integral and differential equations. As regards the latter, applications were soon extended beyond linear operators. In approximation theory, however, applications were limited to linear operators mainly by the fact that the notion of singularity of an integral operator was closely connected with its linearity. This book represents the first attempt at a comprehensive treatment of approximation theory by means of nonlinear integral operators in function spaces. In particular, the fundamental notions of approximate identity for kernels of nonlinear operators and a general concept of modulus of continuity are developed in order to obtain consistent approximation results. Applications to nonlinear summability, nonlinear integral equations and nonlinear sampling theory are given. In particular, the study of nonlinear sampling operators is important since the results permit the reconstruction of several classes of signals. In a wider context, the material of this book represents a starting point for new areas of research in nonlinear analysis. For this reason the text is written in a style accessible not only to researchers but to advanced students as well.
Author : Viorel Barbu
Publisher : Springer Science & Business Media
ISBN 13 : 1441955429
Total Pages : 283 pages
Book Rating : 4.4/5 (419 download)
Download or read book Nonlinear Differential Equations of Monotone Types in Banach Spaces written by Viorel Barbu and published by Springer Science & Business Media. This book was released on 2010-01-01 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is concerned with the basic results on Cauchy problems associated with nonlinear monotone operators in Banach spaces with applications to partial differential equations of evolutive type. It focuses on major results in recent decades.
Author : L.A. Pars
Publisher : Courier Corporation
ISBN 13 : 0486165957
Total Pages : 358 pages
Book Rating : 4.4/5 (861 download)
Download or read book An Introduction to the Calculus of Variations written by L.A. Pars and published by Courier Corporation. This book was released on 2013-12-10 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clear, rigorous introductory treatment covers applications to geometry, dynamics, and physics. It focuses upon problems with one independent variable, connecting abstract theory with its use in concrete problems. 1962 edition.
Author : J. Nečas
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3112761618
Total Pages : 332 pages
Book Rating : 4.1/5 (127 download)
Download or read book Theory of Nonlinear Operators written by J. Nečas and published by Walter de Gruyter GmbH & Co KG. This book was released on 1974-12-31 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Theory of Nonlinear Operators".
Author : Klaus Deimling
Publisher : Courier Corporation
ISBN 13 : 0486132358
Total Pages : 466 pages
Book Rating : 4.4/5 (861 download)
Download or read book Nonlinear Functional Analysis written by Klaus Deimling and published by Courier Corporation. This book was released on 2013-10-09 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers a survey of the main ideas, concepts, and methods that constitute nonlinear functional analysis. It features extensive commentary, many examples, and interesting, challenging exercises. 1985 edition.
