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Opial Inequalities with Applications in Differential and Difference Equations
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Catalogue Information
Field name
Details
Dewey Class
515.8
Title
Opial Inequalities with Applications in Differential and Difference Equations ([EBook] /) / by Ravi P. Agarwal, Peter Y. H. Pang.
Author
Agarwal, Ravi P.
Added Personal Name
Pang, Peter Y. H.
author.
Other name(s)
SpringerLink (Online service)
Publication
Dordrecht : : Springer Netherlands : : Imprint: Springer, , 1995.
Physical Details
X, 398 p. : online resource.
Series
Mathematics and its applications
; 320
ISBN
9789401584265
Summary Note
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.:
Contents note
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.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-94-015-8426-5
Links to Related Works
Subject References:
Difference and Functional Equations
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Difference equations
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Differential Equations
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Functional equations
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Functions of real variables
.
Mathematics
.
Ordinary differential equations
.
Partial differential equations
.
Real Functions
.
Authors:
Agarwal, Ravi P.
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Pang, Peter Y. H.
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Corporate Authors:
SpringerLink (Online service)
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Series:
Mathematics and its applications
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Classification:
515.8
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