An Opial-type inequality with an integral boundary condition-Reference-Cited by-同舟云学术

An Opial-type inequality with an integral boundary condition

Published:2005-07-05 Issue:2060 Volume:461 Page:2635-2651
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Brown Richard C¹,Plum Michael²

Affiliation:

1. Department of Mathematics, University of Alabama-Tuscaloosa, AL 35487-0350, USA

2. Mathematics Institute, University of Karlsruhe, 76128 Karlsruhe, Germany

Abstract

We determine the best constant K and extremals of the Opial-type inequality

, where y is required to satisfy the boundary condition

. The techniques employed differ from those utilized recently by Denzler to solve this problem, and also from those used originally to prove the classical inequality; but they also yield a new proof of that inequality.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2005.1449

Reference13 articles.

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2. On an integral inequality of Z. Opial

3. An Opial-type inequality with an integral side condition;Brown R.C;J. Inequal. Pure Appl. Math. (electronic),2003

4. Opial’s inequality and oscillation of 2nd order equations

5. Some Opial, Lyapunov, and de la Valee-Poussin inequalities with non-homogeneous boundary conditions;Brown R.C;J. Inequal. Appl,2000

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