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    New gaps between zeros of fourth-order differential equations via opial inequalities

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    Date
    2012-01-01
    Author
    Saker, SH
    Agarwal, RP
    O’Regan, D
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    Cited 3 times in Scopus (view citations)
    
    Recommended Citation
    Saker, SH; Agarwal, RP; O’Regan, D (2012). New gaps between zeros of fourth-order differential equations via opial inequalities. Journal of Inequalities and Applications ,
    Published Version
    https://journalofinequalitiesandapplications.springeropen.com/track/pdf/10.1186/1029-242X-2012-182?site=journalofinequalitiesandapplications.springeropen.com
    Abstract
    In this paper, for a fourth-order differential equation, we will establish some lower bounds for the distance between zeros of a nontrivial solution and also lower bounds for the distance between zeros of a solution and/or its derivatives. We also give some new results related to some boundary value problems in the theory of bending of beams. The main results will be proved by making use of some generalizations of Opial and Wirtinger-type inequalities. Some examples are considered to illustrate the main results.
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    http://hdl.handle.net/10379/13765
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