5 edition of Nonlinear Functional Analysis and Applications to Differential Equations found in the catalog.
by World Scientific Publishing Company
Written in English
|Contributions||A. Ambrosetti (Editor), K. C. Chang (Editor), Ivar Ekeland (Editor)|
|The Physical Object|
|Number of Pages||400|
Stability Analysis of Continuous Dynamical Systems with Discrete Controllers Semilinear Elliptic Equations in Rn Some Remarks on Nonlinear Dichotomy and Trichotomy Boundary Value Problems for Second Order Differential Equations A System of Functional Differential Equations Modeling Threshold Phenomena Journal of Nonlinear Functional Analysis is an international peer-reviewed scientific journal devoted exclusively to the publication of high-quality research papers in the fields of nonlinear functional analysis. dynamic systems, fixed point theory and methods of computing fixed points, fluid dynamics, functional differential equations.
phase-plane analysis describes nonlinear phenomena such as limit cycles and multiple equilibria of second-order systems in an efﬁcient manner. The theory of differential equations has led to a highly developed stability theory for some classes of nonlinear systems. (Though, of course, an engineer cannot live by stability alone.) Functional. Definitely the best intro book on ODEs that I've read is Ordinary Differential Equations by Tenebaum and Pollard. Dover books has a reprint of the book for maybe dollars on Amazon, and considering it has answers to most of the problems found.
equations and provide qualitative and quantitative descriptions of solutions. At the same time, we develop methods of analysis which may be applied to carry out the above and which have applications in many other areas of mathematics, as well. As methods and theories aredeveloped, we shall alsopay particularattention. CiteScore: ℹ CiteScore: CiteScore measures the average citations received per document published in this title. CiteScore values are based on citation counts in a given year (e.g. ) to documents published in three previous calendar years (e.g. – 14), divided by the number of documents in these three previous years (e.g. – 14).
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Publisher Summary. This chapter discusses a few aspects of the role of differentials in nonlinear functional analysis. It presents a systematic exposition of several aspects of differential calculus in normed or topological linear spaces and highlights various settings in nonlinear functional analysis in which differentials play an important role.
In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Every method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as. 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.
A thorough and self-contained introduction to linear and nonlinear functional analysis, with applications to numerical analysis, optimisation, and partial differential equations. The book presents a vast amount of foundational material, suitable for advanced undergraduates, along with historical notes, illustrations, and over problems to Cited by: nonlinear functional analysis and its applications Download nonlinear functional analysis and its applications or read online books in PDF, EPUB, Tuebl, and Mobi Format.
Click Download or Read Online button to get nonlinear functional analysis and its applications book now. This site is like a library, Use search box in the widget to get ebook. Publisher Summary. This chapter describes the methods of nonlinear functional analysis, namely, fixed-point theorems in ordered Banach spaces, to prove existence and multiplicity result for periodic solutions of semilinear parabolic differential equations of the second order.
Nonlinear Functional Analysis and Applications provides information pertinent to the fundamental aspects of nonlinear functional analysis and its application.
This book provides an introduction to the basic concepts and techniques of this Edition: 1. This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. It balances the abstract functional-analysis approach based on nonlinear monotone, pseudomonotone, weakly continuous, or accretive mappings with concrete partial differential equations in their weak (or more general) formulation.
A NATO Advanced Study Institute on Nonlinear Functional Analysis and Its Applications was held in Hotel Villa del Mare, Maratea, It.a1y during April 22 - May 3, This volume consists of the Proceedings of the Institute. These Proceedings include the invited lectures and contributed papers given during the Institute.
The papers have been. Applications to differential equations. 2nd ed | In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Modulation Spaces will be an ideal reference for researchers in time-frequency analysis and nonlinear partial differential equations.
It will also appeal to graduate students and seasoned researchers who seek an introduction to the time-frequency analysis of nonlinear dispersive partial differential equations. This single-volume textbook covers the fundamentals of linear and nonlinear functional analysis, illustrating most of the basic theorems with numerous applications to linear and nonlinear partial differential equations and to selected topics from numerical analysis and optimization theory.
Purchase Nonlinear Differential Equations - 1st Edition. Print Book & E-Book. ISBNBook Edition: 1. ISBN: OCLC Number: Description: xiii, pages ; 24 cm.
Contents: An Overview of the Method of Lower and Upper Solutions for ODES / C. De Coster and P. Habets --On the Long-time Behaviour of Solutions to the Navier --Stokes Equations of Compressible Flow / E. Feireisl --Periodic solutions of systems with p-Laplacian-like.
Add tags for "Nonlinear functional analysis and applications to differential equations: proceedings of the second school, ICTP, Trieste, Italy, 21 April-9 May ". Be the first. Similar Items. A thorough and self-contained introduction to linear and nonlinear functional analysis, with applications to numerical analysis, optimisation, and partial differential equations.
The book presents a vast amount of foundational material, suitable for advanced undergraduates, along with historical notes, illustrations, and over problems to.
This single-volume textbook covers the fundamentals of linear and nonlinear functional analysis, illustrating most of the basic theorems with numerous applications to linear and nonlinear partial differential equations and to selected topics from numerical analysis and optimization theory.
This book has pedagogical appeal because it features self-contained and complete proofs of most of the. Nonlinear Functional Analysis and Applications to Differential Equations. Proceedings of the Second School.
Second School, ICTP, Trieste, Italy Readership: Researchers in the fields of analysis & differential equations, and differential geometry & topology. Sections. This is the second of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis.
The presentation is self -contained and accessible to the nonspecialist. Part II concerns the theory of monotone operators.5/5(1). eds.) Partial Differential Equations and Functional Analysis. In Memory of Pierre Grisvard. Boston., Birkhäuser (). gr.8°.
1 portrait. Some figs. XII, p. Hardbound. Progress in Nonlinear Differential Equations and Their Applications, Incl. bibliography of P. Grisvard.- Stamp on title and on one page, otherwise in good condition. This book provides a thorough and self-contained introduction to the basic aspects of both linear and nonlinear functional analysis.
Most of the major results are accompanied by complete proofs, and illustrated with a variety of applications to numerical analysis, optimisation theory, and 5/5(6).This graduate-level 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. Topics include degree mappings for infinite dimensional spaces, the inverse function theory, the implicit function theory, Newton's methods, and many other subjects.
edition.A thorough and self-contained introduction to linear and nonlinear functional analysis, with applications to numerical analysis, optimisation, and partial differential equations. The book presents a vast amount of foundational material, suitable for advanced undergraduates, along with historical notes, illustrations, and over problems to 5/5(1).