نابرابری‌ها برای معادلات دیفرانسیل و انتگرال، جلد 197 (ریاضیات در علم و مهندسی)

Inequalities for Differential and Integral Equations has long been needed; it contains material which is hard to find in other books. Written by a major contributor to the field, this comprehensive resource contains many inequalities which have only recently appeared in the literature and which can be used as powerful tools in the development of applications in the theory of new classes of differential and integral equations. For researchers working in this area, it will be a valuable source of reference and inspiration. It could also be used as the text for an advanced graduate course. Key Features * Covers a variety of linear and nonlinear inequalities which find widespread applications in the theory of various classes of differential and integral equations * Contains many inequalities which have only recently appeared in literature and cannot yet be found in other books * Provides a valuable reference to engineers and graduate students Inequalities for Differential and Integral Equations has long been needed; it contains material which is hard to find in other books. Written by a major contributor to the field, this comprehensive resource contains many inequalities which have only recently appeared in the literature and which can be used as powerful tools in the development of applications in the theory of new classes of differential and integral equations. For researchers working in this area, it will be a valuable source of reference and inspiration. It could also be used as the text for an advanced graduate course.

Key Features
* Covers a variety of linear and nonlinear inequalities which find widespread applications in the theory of various classes of differential and integral equations
* Contains many inequalities which have only recently appeared in literature and cannot yet be found in other books
* Provides a valuable reference to engineers and graduate students Content: Preface Pages ix-x B.G. Pachpatte Introduction Pages 1-8 Chapter one Linear integral inequalities Original Research Article Pages 9-97 Chapter two Nonlinear integral inequalities I Original Research Article Pages 99-220 Chapter three Nonlinear integral inequalities II Original Research Article Pages 221-321 Chapter four Multidimensional linear integral inequalities Original Research Article Pages 323-457 Chapter five Multidimensional nonlinear integral inequalities Original Research Article Pages 459-589 References Pages 591-607 Index Pages 609-611 The classical integral inequalities, which give explicit bounds for an unknown function, have played a fundamental role in establishing the foundations of the theory of differential and integral equations.