Integral Inequalities and Applications

By: D.D. Bainov, P.S Simeonov

Write A Review

Hardcover | 31 May 1992

At a Glance

Hardcover
264 Pages

Dimensions(cm)
23.39 x 15.6 x 1.6

Hardcover

$349.17

or 4 interest-free payments of $87.29 with

Aims to ship in 7 to 10 business days

This volume is devoted to integral inequalities of the Gronwall-Bellman-Bihari type. Following a systematic exposition of linear and nonlinear inequalities, attention is paid to analogues including integro-differential inequalities, functional differential inequalities, and discrete and abstract analogues. Applications to the investigation of the properties of solutions of various classes of equations such as uniqueness, stability, dichotomy, asymptotic equivalence and behaviour is also discussed.
The book comprises three chapters. Chapter I and II consider classical linear and nonlinear integral inequalities. Chapter III is devoted to various classes of integral inequalities of Gronwall type, and their analogues, which find applications in the theory of integro-differential equations, partial differential equations, differential equations with deviating argument, impube differential equations, etc. Each chapter concludes with a section illustrating the manner of application. The book also contains an extensive bibliography.
For researchers whose work involves the theory and application of integral inequalities in mathematics, engineering and physics.

Shipping

	Standard Shipping	Express Shipping
Metro postcodes:	$9.99	$14.95
Regional postcodes:	$9.99	$14.95
Rural postcodes:	$9.99	$14.95

How to return your order

At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.

Additional postage charges may be applicable.

Defective items

If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.

For more info please visit our Help Centre.

You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Differential Calculus & Equations Functional Analysis & Transforms Real Analysis

Other Editions and Formats

Paperback

Published: 7th December 2010

View Product

Series Editor's Preface
Preface
Notation
Scalar linear integral inequalities	p. 1
Gronwall-type inequalities	p. 1
Inequalities of the type of Chu and Metcalf	p. 13
Applications	p. 16
Uniqueness of the solution	p. 17
Differentiability of the solution	p. 17
Estimate for the Cauchy matrix of a perturbed linear equation	p. 18
Stability of a perturbed linear equation	p. 19
Exponential and ordinary dichotomy. Asymptotic equivalence of linear equations	p. 20
Stability of the centre manifold	p. 24
Chapter I: notes and comments	p. 27
Scalar nonlinear integral inequalities	p. 29
Integral inequalities investigated by nonstandard methods	p. 29
Bihari-type inequalities	p. 40
Comparison results	p. 53
Lakshmikantham's comparison method	p. 59
Inequalities of the type of Deo and Dhongade	p. 67
Applications	p. 76
Two-sided estimates	p. 76
Global existence	p. 78
Terminal value problem	p. 80
Stability by linear transformation	p. 81
Perturbed nonlinear equations	p. 85
Chapter II: notes and comments	p. 87
Analogues of Gronwall's inequality	p. 89
Integral inequalities involving several integrals	p. 89
Integral inequalities with iterated integrals	p. 98
Integral inequalities for functions of N variables	p. 109
Integro-differential inequalities	p. 133
Integral inequalities with delay	p. 142
Discrete inequalities	p. 157
Impulse integral inequalities	p. 181
Inequalities involving Stieltjes integrals	p. 191
Systems of integral inequalities	p. 196
Inequalities in partially ordered spaces	p. 201
Applications	p. 211
Asymptotic behaviour of solutions	p. 211
Integro-differential equations	p. 213
Partial differential equations	p. 214
Functional differential equations	p. 216
Difference equations	p. 218
Impulse equations	p. 223
Chapter III: notes and comments	p. 227
Bibliography	p. 229
Author Index	p. 243
Subject Index	p. 245
Table of Contents provided by Blackwell. All Rights Reserved.

Integral Inequalities and Applications

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

Other Editions and Formats

Paperback

More in Calculus & Mathematical Analysis

Complex Analysis and Special Functions

Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions

The Maths Book

Big Ideas Simply Explained

Schaum's Outline of Calculus

7th edition

Calculus with Applications

11th Global Edition

Fundamentals of General, Organic and Biological Chemistry in SI Units

8th Edition

Fundamentals of Complex Analysis with Applications to Engineering, Science, and Mathematics

3rd Edition - Pearson New International Edition

Make: Calculus

Build models to learn, visualize, and explore

Calculus

3rd Edition

A Common-Sense Guide to Data Structures and Algorithms, 2e

INTRODUCTION TO APPLIED NUMERICAL ANALYSIS, AN

Intermediate Financial Theory

3rd Edition

Calculus For Dummies

For Dummies

Student Solutions Manual to accompany Calculus

10th Edition - Several Variables (Chapters 13 - 19)

Introduction to Theoretical and Computational Fluid Dynamics

Religion and Reform in Galveston, 1880-1920

Partial Differential Equations

2nd Edition - An Introduction, Student Solutions Manual

Concise Complex Analysis (Revised Edition)

Single Variable Calculus 4ed

Concepts and Contexts, Enhanced Edition

Physics for Scientists and Engineers

Foundations and Connections, Extended Version with Modern Physics

Systems Analysis and Design, Global Edition

10th edition

Fundamentals of Differential Equations, Global Edition

9th Edition

Mathematics for Business: 7th Edition

Permutation Tests for Complex Data

Theory, Applications and Software

Learning Google Analytics

Creating Business Impact and Driving Insights

This product is categorised by