Integral and Finite Difference Inequalities and Applications

✍ Scribed by B.G. Pachpatte (Eds.)

• Publisher: North Holland
• Year: 2006
• Tongue: English
• Leaves: 321
• Series: North-Holland Mathematics Studies 205
• Edition: 1
• Category: Library

✦ Synopsis

The monograph is written with a view to provide basic tools for researchers working in Mathematical Analysis and Applications, concentrating on differential, integral and finite difference equations. It contains many inequalities which have only recently appeared in the literature and which can be used as powerful tools and will be a valuable source for a long time to come. It is self-contained and thus should be useful for those who are interested in learning or applying the inequalities with explicit estimates in their studies.- Contains a variety of inequalities discovered which find numerous applications in various branches of differential, integral and finite difference equations.- Many inequalities which have only recently discovered in the literature and can not yet be found in bother book.- A valuable reference for someone requiring results about inequalities for use in some applications in various other branches of mathematics.- Will be of interest to researchers working both in pure and applied mathematics and other areas of science and technology, and it could also be used as a text for an advanced graduate course.- Contains a variety of inequalities discovered which find numerous applications in various branches of differential, integral and finite difference equations- Valuable reference for someone requiring results about inequalities for use in some applications in various other branches of mathematics- Highlights pure and applied mathematics and other areas of science and technology

✦ Table of Contents

Content:
Preface
Pages vii-viii
B.G. Pachpatte

Introduction
Pages 1-7

Chapter 1 Integral inequalities in one variable Original Research Article
Pages 9-61

Chapter 2 Integral inequalities in two variables Original Research Article
Pages 63-126

Chapter 3 Retarded integral inequalities Original Research Article
Pages 127-196

Chapter 4 Finite difference inequalities in one variable Original Research Article
Pages 197-241

Chapter 5 Finite difference inequalities in two variables Original Research Article
Pages 243-303

References
Pages 304-307

Index
Pages 308-309