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

Volume 11, Issue 1, pp 8--16 http://dx.doi.org/10.22436/jnsa.011.01.02
Publication Date: December 22, 2017 Submission Date: September 15, 2017 Revision Date: November 09, 2017 Accteptance Date: November 16, 2017

Authors

Qiao-Luan Li - College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, 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.


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ISRP Style

Qiao-Luan Li, Wing-Sum Cheung, Lyapunov-type inequalities for Laplacian systems and applications to boundary value problems, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 1, 8--16

AMA Style

Li Qiao-Luan, Cheung Wing-Sum, Lyapunov-type inequalities for Laplacian systems and applications to boundary value problems. J. Nonlinear Sci. Appl. (2018); 11(1):8--16

Chicago/Turabian Style

Li, Qiao-Luan, Cheung, Wing-Sum. "Lyapunov-type inequalities for Laplacian systems and applications to boundary value problems." Journal of Nonlinear Sciences and Applications, 11, no. 1 (2018): 8--16


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