Lyapunov-type inequalities for higher order difference equations with anti-periodic boundary conditions
Abstract
In this paper, some new Lyapunov-type inequalities for higher order difference equations with anti-periodic boundary conditions are established. The obtained results are used to obtain the lower bounds for the eigenvalues of corresponding equations.Downloads
References
D. Cakmak, Lyapunov-type integral inequalities for certain higher order differential equations, Appl. Math. Comput. 216 (2010) 368-373.
S. S. Cheng, A discrete analogue of the inequality of Lyapunov, Hokkaido Math. J. 12 (1983) 105-112.
X. He, X. H. Tang, Lyapunov-type inequatlities for even order differential equations, Commun Pure Appl. Anal. 11 (2) (2012) 465-473.
A. M. Liapunov, Probleme general de la stabilite du mouvement, Ann. Fac. Sci. Univ. Toulouse, 2 (1907) 203-407.
X. G. Liu, M. L. Tang, Lyapunov- type inequality for higher order difference equations, Appl. Math. Comput. 232 (2014) 666-669.
Y. Y. Wang, Lyapunov-type inequalities for certain higher order differential equations with anti-periodic boundary conditions, Appl. Math. Lett. 25 (2012) 2375-2380.
Y. Wang, Y. M. Shi, Eigenvalues of second-order difference equations with periodic and antiperiodic boundary conditions, J. Math. Anal. Appl. 309 (2005) 56-69.
X. Yang, On Lyapunov-type inequality for certain higher-order differential equations, Appl. Math. Comput. 134 (2003) 307-317.
X. Yang, K. Lo, Lyapunov-type inequality for a class of even-order differential equations, Appl. Math. Comput. 215 (2010) 3884-3890.
Q. M. Zhang, X. H. Tang, Lyapunov-type inequalities for even order difference equations, Appl. Math. Lett. 25 (2012) 1830-1834.
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