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March  2012, 11(2): 465-473. doi: 10.3934/cpaa.2012.11.465

## Lyapunov-type inequalities for even order differential equations

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

Received  January 2011 Revised  May 2011 Published  October 2011

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.

Citation: Xiaofei He, X. H. Tang. Lyapunov-type inequalities for even order differential equations. Communications on Pure & Applied Analysis, 2012, 11 (2) : 465-473. doi: 10.3934/cpaa.2012.11.465
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