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

2012-12-15
Zafer, Ağacık
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.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

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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.