Lyapunov′s Type Inequalities for Fourth‐Order Differential Equations

Samir H. Saker

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: For a fourth‐order differential equation, we will establish some new Lyapunov‐type inequalities, which give lower bounds of the distance between zeros of a nontrivial solution and also lower bounds of the distance between zeros of a solution and/or its derivatives. The main results will be proved by making use of Hardy’s inequality and some generalizations of Opial‐Wirtinger‐type inequalities involving higher‐order derivatives. Some examples are considered to illustrate the main results.

Date: 2012
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https://doi.org/10.1155/2012/795825

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:795825

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