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Journal of Inequalities and Applications

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Open Access 01-12-2009 | Research Article

A Generalized Wirtinger's Inequality with Applications to a Class of Ordinary Differential Equations

Authors: Rong Cheng, Dongfeng Zhang

Published in: Journal of Inequalities and Applications | Issue 1/2009

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Abstract

We first prove a generalized Wirtinger's inequality. Then, applying the inequality, we study estimates for lower bounds of periods of periodic solutions for a class of delay differential equations

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, and

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, where

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, and

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and

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https://static-content.springer.com/image/art%3A10.1155%2F2009%2F710475/MediaObjects/13660_2009_Article_1993_IEq7_HTML.gif

are two given constants. Under some suitable conditions on

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and

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, lower bounds of periods of periodic solutions for the equations aforementioned are obtained.

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Title: A Generalized Wirtinger's Inequality with Applications to a Class of Ordinary Differential Equations
Authors: Rong Cheng
Dongfeng Zhang
Publication date: 01-12-2009
Publisher: Springer International Publishing
Published in: Journal of Inequalities and Applications / Issue 1/2009
Electronic ISSN: 1029-242X
DOI: https://doi.org/10.1155/2009/710475

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