Properties of solutions of fourth-order differential equations with boundary conditions

被引：3

作者：

Saker, Samir H. ^{[1
]}

Agarwal, Ravi P. ^{[2
,3
]}

O'Regan, Donal ^{[4
]}

机构：

[1] Mansoura Univ, Dept Math, Fac Sci, Mansoura 35516, Egypt

[2] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA

[3] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia

[4] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

关键词：

fourth-order differential equations; bending of beams; Opial and Wirtinger inequalities; INEQUALITIES; CRITERIA; ZEROS;

D O I：

10.1186/1029-242X-2013-278

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish some sufficient conditions for (2, 2)-disconjugacy and study the distribution of zeros of nontrivial solutions of fourth-order differential equations. The results are extended to cover some boundary value problems in bending of beams. The main results are proved by making use of a generalization of Hardy's inequality and some Opial-type inequalities. Some examples are considered to illustrate the main results.

引用

页数：15

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