Some new disconjugacy criteria for second order differential equations with a middle term

被引：0

作者：

Saker, Samir H. ^{[1
]}

机构：

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

来源：

BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE | 2014年 / 57卷 / 01期

关键词：

Oscillation Nonoscillation; Disconjugacy; Disfocality; Opial Inequalities; Wirtinger inequalities; differential equations; ORDER;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, for a second order differential equation with a middle term, we will establish some new criteria for disconjuagcy on an interval I, i.e., any nontrivial solution of the equation has at most one zero on this interval. We, also establish some sufficient conditions for disfocality and obtain a lower bound for an eigenvalue of a boundary value problem. Some examples are considered to illustrate the main results.

引用

页码：109 / 120

页数：12

共 21 条

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Agarwal R. P., 1995, Opial inequalities with applications in differential and difference equations

[2]

Barrett J. H, P AM MATH SOC, V10, P552, DOI [10.2307/2033650, DOI 10.2307/2033650]

[3]

Bessack P. R., 1968, PAC J MATH, V26, P215

[4] BEST CONSTANTS IN A CLASS OF INTEGRAL INEQUALITIES [J].