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

Saker, SH
; 
Agarwal, RP
; 
O’Regan, D
Identifiers
http://hdl.handle.net/10379/13765
https://doi.org/10.13025/29002
Repository DOI
10.1186/1029-242x-2012-182
Publication Date
2012-01-01
Keywords
opial and wirtinger inequalities, fourth-order differential equations, bending of beams, lyapunov type inequalities, liapunov-type inequality, disconjugacy, disfocality
Type
Article
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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 ,
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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Publisher
Springer Nature
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (2)