Lyapunov-Type Inequalities for Second-Order Boundary Value Problems with a Parameter

Abstract

In this paper, we will establish some new Lyapunov-type inequalities for a class of second-order boundary value problems with a parameter. The inequalities generalize some early results in the literature.

Lyapunov-type inequalities for higher-order half-linear difference equations

“…For some recent work, the reader is referred to [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45] and the references therein. In particular, Liu and Tang [37] studied the following m-order p-Laplace difference equation: m u(n) p-2 m u(n) + r(n) u(n) p-2 u(n) = 0,…”