An improvement of the Lyapunov inequality for certain higher order differential equations

An improvement of the Lyapunov inequality for certain higher order differential equations

Abstract In this paper, we establish two Lyapunov inequalities for some half-linear higher order differential equations with anti-periodic boundary conditions. Our result improves that obtained by Wang (Appl. Math. Lett. 25:2375–2380, 2012).

Bibliographic Details
Main Author: Haidong Liu
Format: Article
Language:English
Published: SpringerOpen 2018-08-01
Series:Journal of Inequalities and Applications
Subjects:
Lyapunov inequality
Half-linear differential equation
Sobolev inequality
Riemann zeta function
Online Access:http://link.springer.com/article/10.1186/s13660-018-1809-5

Internet

http://link.springer.com/article/10.1186/s13660-018-1809-5

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