Lyapunov's Type Inequalities for Fourth-Order Differential Equations

被引：5
|
作者：
Saker, Samir H. [1 ]
机构：
[1] King Saud Univ, Coll Sci, Res Ctr, Riyadh 11451, Saudi Arabia
来源：
ABSTRACT AND APPLIED ANALYSIS | 2012年
关键词：
LIAPUNOV-TYPE INEQUALITY; DISCONJUGACY; ZEROS;
D O I：
10.1155/2012/795825
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：25
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