Lyapunov-type inequalities for Laplacian systems and applications to boundary value problems

Volume 11, Issue 1, pp 8--16

Publication Date: 2017-12-22

http://dx.doi.org/10.22436/jnsa.011.01.02

Authors

Qiao-Luan Li - College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, 050024, China
Wing-Sum Cheung - Department of Mathematics, The University of Hong Kong, Hong Kong, China

Abstract

In this paper, we establish some new Lyapunov-type inequalities for a class of Laplacian systems. With these, sufficient conditions for the non-existence of nontrivial solutions to certain boundary value problems are obtained. A lower bound for the eigenvalues is also deduced.

Keywords

Lyapunov type inequality, boundary value problem, Laplacian systems

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