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. |

From:
Jun Zheng

Subject:
Mathematics
>>
Mathematics （General）

DOI：10.12074/201806.00016

Cite as:
chinaXiv:201806.00016
(or this versionchinaXiv:201806.00016V2)

Recommended references：
Jun Zheng,Haofan Wang.(2018).Lyapunov-type inequalities for a class of nonlinear higher order differential equations.[ChinaXiv:201806.00016] (Click&Copy)

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[V2] | 2018-06-04 19:46:30 | chinaXiv:201806.00016V2 | Download | |

[V1] | 2018-06-03 12:10:37 | chinaXiv:201806.00016v1(View This Version) | Download |

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