In 1960 the Polish mathematician Zdzidlaw Opial (1930--1974) published an inequality involving integrals of a function and its derivative. This volume offers a systematic and up-to-date account of developments in Opial-type inequalities. The book presents a complete survey of results in the field, starting with Opial's landmark paper, traversing through its generalizations, extensions and discretizations. Some of the important applications of these inequalities in the theory of differential and difference equations, such as uniqueness of solutions of boundary value problems, and upper bounds of solutions are also presented.
This book is suitable for graduate students and researchers in mathematical analysis and applications.
Reihe
Auflage
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Research
Illustrationen
Maße
Höhe: 241 mm
Breite: 160 mm
Dicke: 27 mm
Gewicht
ISBN-13
978-0-7923-3365-4 (9780792333654)
DOI
10.1007/978-94-015-8426-5
Schweitzer Klassifikation
1 Opial's Inequality.- 2 Generalizations of Opial's Inequality.- 3 Opial Inequalities Involving Higher Order Derivatives.- 4 Opial Inequalities in Several Independent Variables.- 5 Discrete Opial Inequalities.- 6 Applications.- Name Index.
