Volume no :17, Issue no: 2, May (2017)

Journal of Pure and Applied Mathematics: Advances and Applications

LYAPUNOV-TYPE INEQUALITIES FOR A CLASS THIRD-ORDER DIFFERENTIAL EQUATIONS

Author's: Yong Fang Qi, Youhua Peng and Xuhuan Wang
Pages: [89] - [103]
Received Date: May 31, 2017
Submitted by:
DOI: http://dx.doi.org/10.18642/jpamaa_7100121846

Abstract

In this paper, we present Lyapunov-type inequalities for a class third-order differential equations, the result is novel and generalizes some early results on this topic. We obtained an interval where the equations have no nontrivial solutions.

Keywords

Lyapunov’s inequality, Euler equation, boundary conditions, Grönwall’s inequality, nontrivial solutions.