Distributions of Zeros of Solutions for Third-Order Differential Equations with Variable Coefficients

被引：2
|
作者：
Saker, Samir H. [1 ]
Arahet, Mohammed A. [1 ]
机构：
[1] Fac Sci, Dept Math, Mansoura 35516, Egypt
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2015年 / 2015卷
关键词：
LIAPUNOV-TYPE INEQUALITY; DISCONJUGACY CRITERIA;
D O I：
10.1155/2015/158460
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
For the third-order linear differential equations of the form (r(t)x"(t))' + p(t)x'(t) + q(t)x(t) = 0, we will establish lower bounds for 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 andWirtinger type inequalities.
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页数：9
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