Oscillation criteria for Hamiltonian matrix difference systems
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- by L. H. Erbe and Peng Xiang Yan PDF
- Proc. Amer. Math. Soc. 119 (1993), 525-533 Request permission
Abstract:
We obtain some oscillation criteria for the Hamiltonian difference system \[ \left \{ \begin {gathered} \Delta Y(t) = B(t)Y(t + 1) + C(t)Z(t), \hfill \\ \Delta Z(t) = - A(t)Y(t + 1) - {B^{\ast }}(t)Z(t), \hfill \\ \end {gathered} \right .\] where $A,B,C,Y,Z$ are $d \times d$ matrix functions. As a corollary, we establish the validity of an earlier conjecture for a second-order matrix difference system.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 119 (1993), 525-533
- MSC: Primary 39A10; Secondary 34C10
- DOI: https://doi.org/10.1090/S0002-9939-1993-1172949-2
- MathSciNet review: 1172949