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.
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页数：10
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