Lyapunov type inequalities for even order differential equations with mixed nonlinearities

被引：15

作者：

Agarwal, Ravi P. ^{[1
,2
]}

Ozbekler, Abdullah ^{[1
,3
]}

机构：

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

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

[3] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年

关键词：

Lyapunov type inequality; mixed nonlinear; sub-linear; super-linear; LINEAR HAMILTONIAN-SYSTEMS; LIAPUNOV-TYPE INEQUALITY; STABILITY-CRITERIA;

D O I：

10.1186/s13660-015-0633-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the case of oscillatory potentials, we present Lyapunov and Hartman type inequalities for even order differential equations with mixed nonlinearities: x((2n))(t) + (-1)(n-1) Sigma(m)(i=1) q(i)(t)vertical bar x(t)vertical bar(alpha i-1) x(t) = 0, where n,m epsilon N and the nonlinearities satisfy 0 < alpha(1) < center dot center dot center dot < alpha(j) < 1 < alpha(j+1) < center dot center dot center dot < alpha(m) < 2.

引用

页数：10

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