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Zbl 0768.39001
Erbe, Lynn H.; Yan, Pengxiang
Qualitative properties of Hamiltonian difference systems.
(English)
[J] J. Math. Anal. Appl. 171, No.2, 334-345 (1992). ISSN 0022-247X

The authors study some qualitative properties of the Hamiltonian difference system $\Delta y(t) = B(t)y(t+1) + C(t)z(t)$, $\Delta z(t) = - A(t)y(t+1) - B\sp*(t)z(t)$, using variational and Riccati type arguments. The results further extend some of the results obtained earlier by the present authors [ibid. 167, 355-367 (1992; Zbl 0762.39003)].
[E.Thandapani (Salem)]
MSC 2000:
*39A10 Difference equations
39A12 Discrete version of topics in analysis

Keywords: prepared solution; disconjugate; Hamiltonian difference system

Citations: Zbl 0762.39003

Cited in: Zbl 0864.93043 Zbl 0794.39006

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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