عنوان
پدید آورنده
موضوع
رده
QA377.3 .D53 2019eb
QA377
.
3
.
D53
2019eb
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
0429156901
(Number (ISBN
0429528884
(Number (ISBN
0429543581
(Number (ISBN
148222819X
(Number (ISBN
9780429156908
(Number (ISBN
9780429528880
(Number (ISBN
9780429543586
(Number (ISBN
9781482228199
Erroneous ISBN
1482228181
Erroneous ISBN
9781482228182
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Nonlinear evolution and difference equations of monotone type in Hilbert spaces /
General Material Designation
[Book]
First Statement of Responsibility
Behzad Djafari-Rouhani (Department of Mathematical Sciences, University of Texas at El Paso, Texas, USA), Hadi Khatibzadeh (Department of Mathematics, Zanjan University, Zanjan, Iran).
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Boca Raton, FL :
Name of Publisher, Distributor, etc.
CRC Press,
Date of Publication, Distribution, etc.
2019.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource
GENERAL NOTES
Text of Note
"A science publishers book."
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
Cover; Title Page; Copyright Page; Table of Contents; Preface; PART I: PRELIMINARIES; 1: Preliminaries of Functional Analysis; 1.1 Introduction to Hilbert Spaces; 1.2 Weak Topology and Weak Convergence; 1.3 Reflexive Banach Spaces; 1.4 Distributions and Sobolev Spaces; 1.4.1 Vector-valued Functions; 1.4.2 Lp Spaces; 1.4.3 Scalar Distributions and Sobolev Spaces; 1.4.4 Vector Distributions and Sobolev Spaces; 2: Convex Analysis and Subdifferential Operators; 2.1 Introduction; 2.2 Convex Sets and Convex Functions; 2.3 Continuity of Convex Functions; 2.4 Minimization Properties
Text of Note
2.5 Fenchel Subdifferential2.6 The Fenchel Conjugate; 3: Maximal Monotone Operators; 3.1 Introduction; 3.2 Monotone Operators; 3.3 Maximal Monotonicity; 3.4 Resolvent and Yosida Approximation; 3.5 Canonical Extension; PART II: EVOLUTION EQUATIONS OF MONOTONE TYPE; 4: First Order Evolution Equations; 4.1 Introduction; 4.2 Existence and Uniqueness of Solutions; 4.3 Periodic Forcing; 4.4 Nonexpansive Semigroup Generated by a Maximal Monotone Operator; 4.5 Ergodic Theorems for Nonexpansive Sequences and Curves; 4.5.1 Almost Nonexpansive Sequences; 4.5.2 Almost Nonexpansive Curves
Text of Note
4.6 Weak Convergence of Solutions and Means4.7 Almost Orbits; 4.8 Sub-differential and Non-expansive Cases; 4.9 Strong Ergodic Convergence; 4.10 Strong Convergence of Solutions; 4.11 Quasi-convex Case; 5: Second Order Evolution Equations; 5.1 Introduction; 5.2 Existence and Uniqueness of Solutions; 5.2.1 The Strongly Monotone Case; 5.2.2 The Non Strongly Monotone Case; 5.3 Two Point Boundary Value Problems; 5.4 Existence of Solutions for the Nonhomogeneous Case; 5.5 Periodic Forcing; 5.6 Square Root of a Maximal Monotone Operator; 5.7 Asymptotic Behavior; 5.7.1 Ergodic Convergence
Text of Note
5.7.2 Weak Convergence5.7.3 Strong Convergence; 5.7.4 Subdifferential Case; 5.8 Asymptotic Behavior for Some Special Nonhomogeneous Cases; 5.8.1 Case C d"0; 5.8.2 The Case C> 0; 6: Heavy Ball with Friction Dynamical System; 6.1 Introduction; 6.2 Minimization Properties; PART III: DIFFERENCE EQUATIONS OF MONOTONE TYPE; 7: First Order Difference Equations and Proximal Point Algorithm; 7.1 Introduction; 7.2 Boundedness of Solutions; 7.3 Periodic Forcing; 7.4 Convergence of the Proximal Point Algorithm; 7.5 Convergence with Non-summable Errors; 7.6 Rate of Convergence
Text of Note
8: Second Order Difference Equations8.1 Introduction; 8.2 Existence and Uniqueness; 8.3 Periodic Forcing; 8.4 Continuous Dependence on Initial Conditions; 8.5 Asymptotic Behavior for the Homogeneous Case; 8.5.1 Weak Ergodic Convergence; 8.5.2 Strong Ergodic Convergence; 8.5.3 Weak Convergence of Solutions; 8.5.4 Strong Convergence of Solutions; 8.6 Subdifferential Case; 8.7 Asymptotic Behavior for the Non-Homogeneous Case; 8.7.1 Mean Ergodic Convergence; 8.7.2 Weak Convergence of Solutions; 8.7.3 Strong Convergence of Solutions; 8.8 Applications to Optimization
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SUMMARY OR ABSTRACT
Text of Note
This book is devoted to the study of non-linear evolution and difference equations of first or second order governed by maximal monotone operator. This class of abstract evolution equations contains ordinary differential equations, as well as the unification of some important partial differential equations including heat equation, wave equation, Schrodinger equation, etc. The book contains a collection of the authors' work and applications in this field, as well as those of other authors.
ACQUISITION INFORMATION NOTE
Source for Acquisition/Subscription Address
Taylor & Francis
Stock Number
9780429156908
OTHER EDITION IN ANOTHER MEDIUM
Title
Nonlinear evolution and difference equations of monotone type in Hilbert spaces.
International Standard Book Number
9781482228182
TOPICAL NAME USED AS SUBJECT
Differential equations, Nonlinear.
Differential equations.
Evolution equations, Nonlinear.
Hilbert space.
Differential equations, Nonlinear.
Differential equations.
Evolution equations, Nonlinear.
Hilbert space.
MATHEMATICS-- Calculus.
MATHEMATICS-- Differential Equations.
MATHEMATICS-- Functional Analysis.
MATHEMATICS-- Mathematical Analysis.
SCIENCE-- Life Sciences-- General.
(SUBJECT CATEGORY (Provisional
MAT-- 005000
MAT-- 007000
MAT-- 034000
MAT-- 037000
PB
SCI-- 086000
DEWEY DECIMAL CLASSIFICATION
Number
515/
.
35
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA377
.
3
Book number
.
D53
2019eb
PERSONAL NAME - PRIMARY RESPONSIBILITY
Djafari-Rouhani, Behzad
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Khatibzadeh, Hadi
ORIGINATING SOURCE
Date of Transaction
20200823031641.0
Cataloguing Rules (Descriptive Conventions))
pn
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
