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1. chinaXiv:201806.00016 [pdf]

Lyapunov-type inequalities for a class of nonlinear higher order differential equations

Jun Zheng; Haofan Wang
分类: 数学 >> 数学(综合)

In this work, we establish several Lyapunov-type inequalities for a class of nonlinear higher order differential equations having a form \begin{align*} (\psi(u^{(m)}(x)))'+\sum_{i=0}^nr_i(x)f_i(u^{(i)}(x))=0, %\ \ \ \ \text{or}\ \ \ \ (\psi(u^{(m)}))^{(m)}+r_i(x)f(u)=0, \end{align*} with anti-periodic boundary conditions, where $m> n\geq 0$ are integers, $\psi$ and $f_i (i=0,1,2,...,n)$ satisfy certain structural conditions such that the considered equations have general nonlinearities. The obtained inequalities are extensions and complements of the existing results in the literature.

提交时间: 2018-06-04 点击量2142下载量264 评论 0

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