EN
Lyapunov-Type Inequalities for Two Classes of Difference Systems with Dirichlet Boundary Conditions
Abstract
In this paper, we establish Lyapunov-type inequalities for two classes of difference systems which improve all existing ones in the literature. Applying our inequalities, we obtain a lower bound for the eigenvalues of corresponding systems.
Keywords
References
- Aktaş, M. F., Çakmak, D., Tiryaki, A., “A note on Tang and He's paper”, Appl. Math. Comput. 218 (2012), 4867- 4871.
- Aktaş, M. F., “Lyapunov-type inequalities for a certain class of n-dimensional quasilinear systems”, Electron. J. Differential Equations 67 (2013), 1-8.
- Atkinson, F. V., “Discrete and Continuous Boundary Problems”, Academic Press, New York, NY, USA, 1964.
- Cheng, S. S., “A discrete analogue of the inequality of Lyapunov”, Hokkaido Math. J. 12 (1983), 105-112.
- Çakmak, D., Tiryaki, A., “On Lyapunov-type inequality for quasilinear systems”, Appl. Math. Comput. 216 (2010), 3584-3591.
- Çakmak, D., Tiryaki, A., “Lyapunov-type inequality for a class of Dirichlet quasilinear systems involving the (p₁,p₂,..., )-Laplacian”, J. Math. Anal. Appl. 369 (2010), 76-81.
- Liapunov, A. M., “Probleme general de la stabilite du mouvement”, Ann. Fac. Sci. Univ. Toulouse 2 (1907), 203- 407.
- Lin, S. H., Yang, G. S., “On discrete analogue of Lyapunov inequality”, Tamkang J. Math. 20 (1989), 169-186.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
October 5, 2015
Submission Date
December 26, 2014
Acceptance Date
-
Published in Issue
Year 2015 Volume: 28 Number: 3
APA
Aktaş, M., Çakmak, D., & Arıtürk, M. (2015). Lyapunov-Type Inequalities for Two Classes of Difference Systems with Dirichlet Boundary Conditions. Gazi University Journal of Science, 28(3), 473-482. https://izlik.org/JA42YN92AB
AMA
1.Aktaş M, Çakmak D, Arıtürk M. Lyapunov-Type Inequalities for Two Classes of Difference Systems with Dirichlet Boundary Conditions. Gazi University Journal of Science. 2015;28(3):473-482. https://izlik.org/JA42YN92AB
Chicago
Aktaş, Mustafa, Devrim Çakmak, and Merve Arıtürk. 2015. “Lyapunov-Type Inequalities for Two Classes of Difference Systems With Dirichlet Boundary Conditions”. Gazi University Journal of Science 28 (3): 473-82. https://izlik.org/JA42YN92AB.
EndNote
Aktaş M, Çakmak D, Arıtürk M (October 1, 2015) Lyapunov-Type Inequalities for Two Classes of Difference Systems with Dirichlet Boundary Conditions. Gazi University Journal of Science 28 3 473–482.
IEEE
[1]M. Aktaş, D. Çakmak, and M. Arıtürk, “Lyapunov-Type Inequalities for Two Classes of Difference Systems with Dirichlet Boundary Conditions”, Gazi University Journal of Science, vol. 28, no. 3, pp. 473–482, Oct. 2015, [Online]. Available: https://izlik.org/JA42YN92AB
ISNAD
Aktaş, Mustafa - Çakmak, Devrim - Arıtürk, Merve. “Lyapunov-Type Inequalities for Two Classes of Difference Systems With Dirichlet Boundary Conditions”. Gazi University Journal of Science 28/3 (October 1, 2015): 473-482. https://izlik.org/JA42YN92AB.
JAMA
1.Aktaş M, Çakmak D, Arıtürk M. Lyapunov-Type Inequalities for Two Classes of Difference Systems with Dirichlet Boundary Conditions. Gazi University Journal of Science. 2015;28:473–482.
MLA
Aktaş, Mustafa, et al. “Lyapunov-Type Inequalities for Two Classes of Difference Systems With Dirichlet Boundary Conditions”. Gazi University Journal of Science, vol. 28, no. 3, Oct. 2015, pp. 473-82, https://izlik.org/JA42YN92AB.
Vancouver
1.Mustafa Aktaş, Devrim Çakmak, Merve Arıtürk. Lyapunov-Type Inequalities for Two Classes of Difference Systems with Dirichlet Boundary Conditions. Gazi University Journal of Science [Internet]. 2015 Oct. 1;28(3):473-82. Available from: https://izlik.org/JA42YN92AB