Nonlinear evolution and difference equations of monotone type in Hilbert spaces /
نام عام مواد
[Book]
نام نخستين پديدآور
Behzad Djafari-Rouhani (Department of Mathematical Sciences, University of Texas at El Paso, Texas, USA), Hadi Khatibzadeh (Department of Mathematics, Zanjan University, Zanjan, Iran).
وضعیت نشر و پخش و غیره
محل نشرو پخش و غیره
Boca Raton, FL :
نام ناشر، پخش کننده و غيره
CRC Press,
تاریخ نشرو بخش و غیره
2019.
مشخصات ظاهری
نام خاص و کميت اثر
1 online resource
يادداشت کلی
متن يادداشت
"A science publishers book."
یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references and index.
یادداشتهای مربوط به مندرجات
متن يادداشت
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
متن يادداشت
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
متن يادداشت
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
متن يادداشت
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
متن يادداشت
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
بدون عنوان
0
بدون عنوان
8
بدون عنوان
8
بدون عنوان
8
بدون عنوان
8
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
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.
یادداشتهای مربوط به سفارشات
منبع سفارش / آدرس اشتراک
Taylor & Francis
شماره انبار
9780429156908
ویراست دیگر از اثر در قالب دیگر رسانه
عنوان
Nonlinear evolution and difference equations of monotone type in Hilbert spaces.
شماره استاندارد بين المللي کتاب و موسيقي
9781482228182
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Differential equations, Nonlinear.
موضوع مستند نشده
Differential equations.
موضوع مستند نشده
Evolution equations, Nonlinear.
موضوع مستند نشده
Hilbert space.
موضوع مستند نشده
Differential equations, Nonlinear.
موضوع مستند نشده
Differential equations.
موضوع مستند نشده
Evolution equations, Nonlinear.
موضوع مستند نشده
Hilbert space.
موضوع مستند نشده
MATHEMATICS-- Calculus.
موضوع مستند نشده
MATHEMATICS-- Differential Equations.
موضوع مستند نشده
MATHEMATICS-- Functional Analysis.
موضوع مستند نشده
MATHEMATICS-- Mathematical Analysis.
موضوع مستند نشده
SCIENCE-- Life Sciences-- General.
مقوله موضوعی
موضوع مستند نشده
MAT-- 005000
موضوع مستند نشده
MAT-- 007000
موضوع مستند نشده
MAT-- 034000
موضوع مستند نشده
MAT-- 037000
موضوع مستند نشده
PB
موضوع مستند نشده
SCI-- 086000
رده بندی ديویی
شماره
515/
.
35
ويراست
23
رده بندی کنگره
شماره رده
QA377
.
3
نشانه اثر
.
D53
2019eb
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )