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Zbl 0831.39001
Došlý, Ondřej
Transformations of linear Hamiltonian difference systems and some of their applications. (English)
[J] J. Math. Anal. Appl. 191, No.2, 250-265 (1995). ISSN 0022-247X

The author studies the linear Hamiltonian difference system (LHS) $\Delta y_n=A_n y_{n+1}+B_n z_n$, $\Delta z_n=C_n y_{n+1}+A^T_n z_n$, where $y_n$, $z_n$ are $d$- dimensional $(d\in\bbfN)$ sequences, $A_n$, $B_n$, $C_n$ are sequences of real-valued $d\times d$ matrices, $A^T_n$ stands for the transpose of the matrix $A_n$, $\Delta$ is the usual forward difference operator, $n\in[M-1,\infty)$, $M\in\bbfN$.\par Certain transformations are deduced which transform the above LHS into another LHS.
[R.P.Agarwal (Lucknow)]

MSC 2000:: *39A10 Difference equations

Keywords: linear Hamiltonian difference system; transformations

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