Abstract

In this work, we establish several Lyapunov-type inequalities for a class of nonlinear higher order differential equations having a form , with anti-periodic boundary conditions, where m > n ≥ 0 are integers, ψ or fi(i = 0,1,2,…,n) satisfies Lieberman-type structural condition. The obtained inequalities are extensions and complements of the existing results in the literature.

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