Discrete linear Hamiltonian systems: Lyapunov type inequalities, stability and disconjugacy criteria

Date

2012-12-15

Author

Zafer, Ağacık

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In this paper, we first establish new Lyapunov type inequalities for discrete planar linear Hamiltonian systems. Next, by making use of the inequalities, we derive stability and disconjugacy criteria. Stability criteria are obtained with the help of the Floquet theory, so the system is assumed to be periodic in that case.

Subject Keywords

Hamiltonian system, Disconjugacy, Stability, Lyapunov inequality

URI

https://hdl.handle.net/11511/51992

Journal

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

DOI

https://doi.org/10.1016/j.jmaa.2012.07.009

Collections

Department of Mathematics, Article

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Citation Formats

A. Zafer, “Discrete linear Hamiltonian systems: Lyapunov type inequalities, stability and disconjugacy criteria,” JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, pp. 606–617, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/51992.