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| Author | : M.R. Grossinho |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 402 |
| Release | : 2000-11-29 |
| Genre | : Mathematics |
| ISBN | : 9780817641887 |
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
| Author | : Pavel Drabek |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 652 |
| Release | : 2013-01-18 |
| Genre | : Mathematics |
| ISBN | : 3034803877 |
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
| Author | : Antonio Ambrosetti |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 203 |
| Release | : 2011-07-19 |
| Genre | : Mathematics |
| ISBN | : 0817681140 |
This self-contained textbook provides the basic, abstract tools used in nonlinear analysis and their applications to semilinear elliptic boundary value problems and displays how various approaches can easily be applied to a range of model cases. Complete with a preliminary chapter, an appendix that includes further results on weak derivatives, and chapter-by-chapter exercises, this book is a practical text for an introductory course or seminar on nonlinear functional analysis.
| Author | : Tomás Roubicek |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 415 |
| Release | : 2006-01-17 |
| Genre | : Mathematics |
| ISBN | : 3764373970 |
This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition quickly leads general theory to analysis of concrete equations, which have specific applications in such areas as electrically (semi-) conductive media, modeling of biological systems, and mechanical engineering. Methods of Galerkin or of Rothe are exposed in a large generality.
| Author | : Themistocles M. Rassias |
| Publisher | : Springer |
| Total Pages | : 932 |
| Release | : 2018-06-29 |
| Genre | : Mathematics |
| ISBN | : 3319898159 |
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.
| Author | : Djairo G de Figueiredo |
| Publisher | : Springer |
| Total Pages | : 465 |
| Release | : 2014-06-16 |
| Genre | : Mathematics |
| ISBN | : 3319042149 |
This volume is a collection of articles presented at the Workshop for Nonlinear Analysis held in João Pessoa, Brazil, in September 2012. The influence of Bernhard Ruf, to whom this volume is dedicated on the occasion of his 60th birthday, is perceptible throughout the collection by the choice of themes and techniques. The many contributors consider modern topics in the calculus of variations, topological methods and regularity analysis, together with novel applications of partial differential equations. In keeping with the tradition of the workshop, emphasis is given to elliptic operators inserted in different contexts, both theoretical and applied. Topics include semi-linear and fully nonlinear equations and systems with different nonlinearities, at sub- and supercritical exponents, with spectral interactions of Ambrosetti-Prodi type. Also treated are analytic aspects as well as applications such as diffusion problems in mathematical genetics and finance and evolution equations related to electromechanical devices.
| Author | : Dimitrios C. Kravvaritis |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 384 |
| Release | : 2020-04-06 |
| Genre | : Mathematics |
| ISBN | : 3110647451 |
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 | : Kung-Ching Chang |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 448 |
| Release | : 2005-11-21 |
| Genre | : Mathematics |
| ISBN | : 3540292322 |
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.
| Author | : Mi-Ho Giga |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 307 |
| Release | : 2010-05-30 |
| Genre | : Mathematics |
| ISBN | : 0817646515 |
This work will serve as an excellent first course in modern analysis. The main focus is on showing how self-similar solutions are useful in studying the behavior of solutions of nonlinear partial differential equations, especially those of parabolic type. This textbook will be an excellent resource for self-study or classroom use.
| Author | : M. Vidyasagar |
| Publisher | : SIAM |
| Total Pages | : 515 |
| Release | : 2002-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780898719185 |
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.
