Lyapunov-type inequalities for even order differential equations

Xiaofei He; X. H. Tang

doi:10.3934/cpaa.2012.11.465

Article Contents

2012, Volume 11, Issue 2: 465-473. Doi: 10.3934/cpaa.2012.11.465

This issue Previous Article Solutions for polyharmonic elliptic problems with critical nonlinearities in symmetric domains Next Article Best asymptotic profile for the system of compressible adiabatic flow through porous media on quadrant

Lyapunov-type inequalities for even order differential equations

Xiaofei He^1, and
X. H. Tang^1,

1.
School of Mathematical Sciences and Computing Technology, Central South University, Changsha, Hunan 410083

Received: December 31, 2010

Revised: April 30, 2011

Published: February 2012

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Abstract

In this paper, we establish several new Lyapunov-type inequalities for the $2n-$order differential equation

$x^{(2n)}(t)+(-1)^{n-1}q(t)x(t)=0, $

which are sharper than all related existing ones.

Keywords:

Mathematics Subject Classification: 34B15.

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