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.

引用

页数：9

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