Lyapunov-type inequalities for $(m+1)$th order half-linear differential equations with anti-periodic boundary conditions

Abstract

In this work, we will establish several new Lyapunov-type inequalities for $(m+1)$th order half-linear differential equations with anti-periodic boundary conditions, the results of this paper are new and generalize and improve some early results in the literature.

Keywords

• half-linear differential equation
• lyapunov inequalities
• anti-periodic boundary conditions.