Opial Inequalities with Applications in Differential and Difference Equations

1995
ISBN: 978-0-7923-3365-4
Verlag: Springer Netherlands

Buch, Englisch, Band 320, 398 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1660 g

Reihe: Mathematics and Its Applications

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.

Zielgruppe

Research

Autoren/Hrsg.

Pang, P. Y.

Agarwal, R.P.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis

Inhaltsverzeichnis

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.