Nonlinear Functional Evolutions in Banach Spaces

by Ki Sik Ha

Publisher: Springer Netherlands in Dordrecht

Written in English
Cover of: Nonlinear Functional Evolutions in Banach Spaces | Ki Sik Ha
Published: Pages: 352 Downloads: 785
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Subjects:

  • Differential Equations,
  • Functional equations,
  • Integral equations,
  • Mathematics,
  • Operator theory,
  • Differential equations, partial

About the Edition

There are many problems in partial differential equations with delay which arise from physical models with delay, biochemical models with delay and diffused population with delay. Some of them can be considered as nonlinear functional evolutions in appropriate infinite dimensional spaces. While other publications in the same field have treated linear functional evolutions and nonlinear functional evolutions in finite dimensional spaces, this book is one of the first to give a detailed account of the recent state of the theory of nonlinear functional evolutions associated with multi-valued operators in infinite dimensional real Banach spaces. The techniques developed for nonlinear evolutions in real Banach spaces are applied in this book. This book will benefit graduate students and researchers working in such diverse fields as mathematics, physics, biochemistry, and sociology who are interested in the development and application of nonlinear functional evolutions. This volume will also be useful as supplementary reading for biologists and engineers.

Edition Notes

Statementby Ki Sik Ha
Classifications
LC ClassificationsQA431
The Physical Object
Format[electronic resource] /
Pagination1 online resource (x, 352 p.)
Number of Pages352
ID Numbers
Open LibraryOL27077583M
ISBN 109048162041, 9401703655
ISBN 109789048162048, 9789401703659
OCLC/WorldCa851379729

@NonlinearAnahYIs, Theon: Methods & Applications. Vol. 25, No. 12, pp. , ~2tElsevier Science Ltd -PergamonPrinted in Great Britain X(94) ON THE CONSTRUCTION OF METHODS OF LINES FOR FUNCTIONAL EVOLUTIONS IN GENERAL BANACH SPACES ATHANASSIOS G. KARTSATOS Department of Mathematics, University of South Florida, Tampa, FL Cited by: Nonlinear functional analysis and applications is an area of study that has provided fascination for many mathematicians across the world. This monograph delves specifically into the topic of the geometric properties of Banach spaces and nonlinear iterations, a subject of Brand: Springer-Verlag London. 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. Leyden, Noordhoff International Publishing, , p, ISBN The book is concerned with nonlinear semigroups of contractions in Banach spaces and their application to the existence theory for differential equations associated with nonlinear dissipative of content: Preface to the first edition Preface to the English edition Chapter I. Preliminaries Metric.

This manuscript provides a brief introduction to Real and (linear and nonlinear) Functional Analysis. There is also an accompanying text on Real Analysis.. MSC: , 46E30, 47H10, 47H11, 58Exx, 76D05 Keywords: Functional Analysis, Banach space, Hilbert space, Mapping degree, fixed-point theorems, differential equations, Navier-Stokes equation. springer, Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory. Key Features: Develops classical theory, including weak topologies, locally. Get this from a library! Nonlinear differential equations of monotone types in Banach spaces. [Viorel Barbu;] -- This book is concerned with basic results on Cauchy problems associated with nonlinear monotone operators in Banach spaces with applications . Functional analysis Projection Constants of Some Topological Spaces. Nonlinear Analysis and Convex Analysis -I-Busan, Editors Banach and Function Spaces: Banach and Function Spaces IV kitakyushu Japan, Editors M. Kato, L. Maligranda, T. Suzuki.

In this paper the issue of existence of sliding motions for a class of control systems of parabolic type is considered. The operator satisfies standard hemicontinuity, monotonicity and coercivity assumptions; the control law is finite-dimensional and enters linearly in the equation. By using a Faedo-Galerkin approach, a family of finite-dimensional ODEs is constructed and an approximating Cited by: 6. $\begingroup$ if you are looking for fixed point theory you should look into the direction of non-linear functional analysis $\endgroup$ – Norbert Aug 17 '14 at $\begingroup$ I am studding geometry of Banach spaces and sometimes I like know applications of geometry of Banach spaces $\endgroup$ – user Aug 17 '14 at Lindenstrauss worked in various areas of functional analysis and geometry, particularly Banach space theory, finite- and infinite-dimensional convexity, geometric nonlinear functional analysis and geometric measure theory. He authored more than papers as well as several books in Banach space mater: Hebrew University of Jerusalem. Nonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory Under Weak Topology for Nonlinear Operators and Block Operator Matrices with Applications by Aref Jeribi, Bilel Krichen starting at $ Nonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory Under Weak Topology for Nonlinear Operators and Block Operator .

Nonlinear Functional Evolutions in Banach Spaces by Ki Sik Ha Download PDF EPUB FB2

The techniques developed for nonlinear evolutions in infinite-dimensional real Banach spaces are applied. This book gives a detailed account of the recent state of theory of nonlinear functional evolutions associated with accretive operators in infinite-dimensional real Banach spaces. Nonlinear operators and nonlinear equations of evolution in Banach spaces (Proceedings of symposia in pure mathematics) by Felix E Browder (Author) › Visit Amazon's Felix E Browder Page.

Find all the books, read about the author, and more. See search results for this author. Are you an author. Cited by: This chapter discusses nonlinear evolution operators in Banach spaces.

It also presents the generation of evolution operators that provide the generalized solutions. A fundamental result on the construction of an evolution operators in general Banach spaces has been established by Crandall–Pazy.

This book is concerned with nonlinear semigroups of contractions in Banach spaces and their application to the existence theory for differential equa­ tions associated with Cited by: Nonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator Matrices with Applications is the first book to tackle the topological fixed point theory for block operator matrices with nonlinear entries in Banach spaces and Banach algebras.

The book provides researchers and graduate students with a unified survey of the fundamental principles of fixed point theory in Banach spaces Manufacturer: Chapman and Hall/CRC. Abstract. The purpose of this chapter is to state some basic concepts and to introduce well known Nonlinear Functional Evolutions in Banach Spaces book in the nonlinear operator theory and the theory of nonlinear evolutions in real Banach spaces that will play very important roles in the subsequent development of this book.

On Critical Sets for Nonlinear Equations of Evolution with Nonuniqueness G. STEPHEN JONES Accretive Operators and Nonlinear Evolution Equations in Banach Spaces TOSIO KATO Fixed Point Theorems for Nonexpansive Mappings WILLIAM A.

KIRK On Some Nonlinear Partial Differential Equations Related to Optimal Control Theory. LIONS. Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics.

This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory. The presen t volume contains the book-length text of a paper entitled "Nonlinear operators and nonlinear equations of evolution in Banach spaces" composed in its entiret y during the calendar year to be publishe d as par t of the Proceedings of the Symposium on Nonlinear Functional Analysis held in connection with the.

Nonlinear multiparametric equations: structure and topological dimension of global branches of solutions J. IZE, I. MASSABO, J. PEJSACHOWICZ and A. VIGNOLI PART 2 Remarks on the Euler and Navier-Stokes equations in R2 Tosio KATO 1 Nonlinear equations of evolution in Banach spaces.

“The present treatise completes it, by putting the emphasis upon the application of maximal monotone and accretive nonlinear operators in a Banach space to nonlinear dissipative dynamics, and in particular to the study of some time-dependent nonlinear partial differential equations seen as evolution equations in Banach spaces.

Cited by:   In this article we study the following nonlinear evolution equation. x t t + A ∘ F x = g x, A − 1 2 x t, t ∈ 0, T, 0 space H, F: X X ∗ and g: D(g) ⊆ H × H H are a nonlinear operators, X is a real Banach space.

For example, operator A denotes −Δ with Dirichlet Author: Kamal N. Soltanov. This book is concerned with basic results on Cauchy problems associated with nonlinear monotone operators in Banach spaces with applications to partial differential equations of evolutive type.

This is a monograph about the most significant results obtained in this area in last decades but is also. Gives an account of the state of the theory of nonlinear functional evolutions associated with multi-valued operators in infinite dimensional real Banach spaces.

This book is suitable for graduate students and researchers working in diverse fields such as. The techniques developed for Nonlinear evolutions in real Banach spaces are applied in this book. This book will benefit graduate students and researchers working in such diverse fields as mathematics, physics, biochemistry, and sociology who are interested in the development and application of Nonlinear functional evolutions.

Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics.

This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space cturer: Springer. This book gives a detailed account of the recent state of theory of nonlinear functional evolutions associated with accretive operators in infinite-dimensional real Banach spaces.

Existence, uniqueness, and stability for 'solutions' of nonlinear func tional evolutions are considered. PREFACE The present volume contains the book-length text of a paper entitled "Nonlinear operators and nonlinear equations of evolution in Banach spaces" composed in its entirety during the calendar year to be published as part of the Proceedings of the Symposium on Nonlinear Functional Analysis held in connection with the April While other publications in the same field have treated linear functional evolutions and nonlinear functional evolutions in finite dimensional spaces, this book is one of the first to give a detailed account of the recent state of the theory of nonlinear functional evolutions associated with multi-valued operators in infinite dimensional real Banach spaces.

This paper proves the existence of an evolution operatorU(t, s)x 0 corresponding to a weak or generalized solution of the differential equation:du (t)/dt +A (t)u(t) ∋ f(t), u(s) =x 0,t ≧ s; the operatorsA(t) are eachm-accretive in a Banach spaceX and, loosely speaking, have an “L1 modulus of continuity” int.

The continuity and differentiability properties ofU(t, s)x0 are investigated Cited by: JOURNAL OF DIFFERENTIAL EQUATIONS 9, () Nonlinear Evolution Equations in Banach Spaces Bui AN TON Department of Mathematics, University of British Columbia, Vancouver, Canada Received July 9, Let H be a real Hilbert space and W, V be two real reflexive separable Banach spaces with WC VC by: NONLINEAR EQUATIONS IN A B S T R A C T SPACES NONLINEAR EVOLUTION OPERATORS IN BANACH SPACES Yoshikazu Kobayashi Vacattij oi nglneoAlng Utigatxi UnlvdUÁXy We are concerned in this lecture with the nonlinear evolution operator associated with a system of time-dependent equations (DE) s u'(t) e A(t)u(t), s evolution which are formulated for {A(t); X.

0 Cited by: On periodic solutions of nonlinear evolution equations in Banach spaces Article in Journal of Mathematical Analysis and Applications (1) December with 26. On periodic solutions of nonlinear evolution equations in Banach spaces I. VrabiePeriodic solutions for nonlinear evolution equations in Banach space.

Proc. Amer. Math. Soc., (), pp. Google Scholar. Zeidler. Nonlinear Functional Analysis and Cited by: This paper gives a survey over some of the most important methods and results of nonlinear functional analysis in ordered Banach spaces. By means of iterative techniques and by using topological tools, fixed point theorems for completely continuous maps in ordered Banach spaces are deduced, and particular attention is paid to the derivation of multiplicity by:   Uncover the Useful Interactions of Fixed Point Theory with Topological StructuresNonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator Matrices with Applications is the first book to tackle the topological fixed point theory for block operator matrices wCited by: 8.

This chapter is devoted to the Cauchy problem associated with nonlinear quasi-accretive operators in Banach spaces. The main result is concerned with the convergence of the finite difference.

This advanced book focuses on ordinary differential equations (ODEs) in Banach and more general locally convex spaces, most notably the ODEs on measures and various function spaces. It briefly discusses the fundamentals before moving on to the cutting edge research in linear and nonlinear partial and pseudo-differential equations, general.

Nonlinear operators and nonlinear equations of evolution in Banach spaces. [Felix E Browder; American Mathematical Society.] Paper prepared for the Symposium on Nonlinear Functional Analysis, Chicago, Includes indexes.

Description: 1 online resource (viii, pages). Browder, Nonlinear equations of evolution and the method of steepest descent in Banach spaces (to appear). Browder and D. de Figueiredo, J-monotone nonlinear mappings in Banach spaces, Nederl. Akad. Wetensch. 69 (), Cited by:.

Nonlinear operators and nonlinear equations of evolution in Banach spaces. Providence, R.I.: American Mathematical Society, (OCoLC) Material Type: Internet resource: Document Type: Book, Internet Resource: All Authors / Contributors: Felix E .The object of the present paper is the study of a class of functional evolution equations of the type: where A(t,φ) are nonlinear operators acting on a Banach space, : Josef Kreulich.Existence of periodic solutions of nonlinear evolution inclusions in Banach spaces Article in Nonlinear Analysis Real World Applications 11(1) February with 37 Reads.