Open AccessLyapunov-type inequalities for a class of nonlinear higher order differential equations
Author(s) -
Haofan Wang,
Xu Guo,
Jun Zheng
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1324/1/012003
Subject(s) - algorithm , materials science , computer science
In this work, we establish several Lyapunov-type inequalities for a class of nonlinear higher order differential equations having a form ( ψ ( u ( m ) ( x ) ) ) ’ + ∑ i = 0 n r i ( x ) f i ( u ( i ) ( x ) ) = 0 , with anti-periodic boundary conditions, where m > n ≥ 0 are integers, ψ or f i ( i = 0,1,2,…, n ) satisfies Lieberman-type structural condition. The obtained inequalities are extensions and complements of the existing results in the literature.