Lyapunov-type inequalities for third order linear differential equations with two points boundary conditions

Abstract

In this paper, by using Green’s functions for second order differential equations, we estab- lish new Lyapunov-type inequalities for third order linear differential equations with two points boundary conditions. By using such inequalities, we obtain sharp lower bounds for the eigenvalues of corresponding equations. Mathematics Subject Classification (2010). 34C10, 34B05, 34L15