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.
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页数：15
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