LYAPUNOV-TYPE INEQU ALITIES FOR ODD ORDER LINEAR DIFFERENTIAL EQUATIONS

被引：0

作者：

Dhar, Sougata ^{[1
]}

Kong, Qingkai ^{[1
]}

机构：

[1] Northern Illinois Univ, Dept Math, De Kalb, IL 60115 USA

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2016年

关键词：

Lyapunov-type inequalities; odd order; linear differential equations; Green's function; boundary value problem; LIAPUNOV-TYPE INEQUALITY; OSCILLATION;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we obtain Lyapunov-type inequalities for certain odd order linear boundary-value problems. Our inequalities involve integrals of both q+(t) and q-(t) in addition to that of |q(t)|. The Green's function for even order boundary-value problems plays a key role in our proofs. Also, using the Fredholm alternative theorem, we obtain a criterion for the existence and uniqueness of solutions to the corresponding nonhomogeneous linear boundary-value problems.

引用

页数：10

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