On difference linear periodic systems II. Non-homogeneous case
Ion Zaballa; Juan-Miguel Gracia
Aplikace matematiky (1985)
- Volume: 30, Issue: 6, page 403-412
- ISSN: 0862-7940
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topZaballa, Ion, and Gracia, Juan-Miguel. "On difference linear periodic systems II. Non-homogeneous case." Aplikace matematiky 30.6 (1985): 403-412. <http://eudml.org/doc/15423>.
@article{Zaballa1985,
abstract = {This work deals with the reduction of a linear nonhomogeneous periodic system in differences (recurrence relations) to another linear non-homogeneous system with constant coefficients and an independent term. This makes it possible to study the existence and properties of periodic solutions, the asymptotic behavior and to obtain all solutions in closed form.},
author = {Zaballa, Ion, Gracia, Juan-Miguel},
journal = {Aplikace matematiky},
keywords = {reduction; explicit solution; non-homogeneous system; periodic system; asymptotic behaviour; periodic solutions; reduction; explicit solution; non-homogeneous system; periodic system; asymptotic behaviour; periodic solutions},
language = {eng},
number = {6},
pages = {403-412},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On difference linear periodic systems II. Non-homogeneous case},
url = {http://eudml.org/doc/15423},
volume = {30},
year = {1985},
}
TY - JOUR
AU - Zaballa, Ion
AU - Gracia, Juan-Miguel
TI - On difference linear periodic systems II. Non-homogeneous case
JO - Aplikace matematiky
PY - 1985
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 30
IS - 6
SP - 403
EP - 412
AB - This work deals with the reduction of a linear nonhomogeneous periodic system in differences (recurrence relations) to another linear non-homogeneous system with constant coefficients and an independent term. This makes it possible to study the existence and properties of periodic solutions, the asymptotic behavior and to obtain all solutions in closed form.
LA - eng
KW - reduction; explicit solution; non-homogeneous system; periodic system; asymptotic behaviour; periodic solutions; reduction; explicit solution; non-homogeneous system; periodic system; asymptotic behaviour; periodic solutions
UR - http://eudml.org/doc/15423
ER -
References
top- R. Bellman, 10.1090/S0002-9947-1947-0023996-1, Trans. Amer. Math. Soc. 62 (1974), no. 3, 357-386. (1974) MR0023996DOI10.1090/S0002-9947-1947-0023996-1
- A. Halanay D. Wexler, Qualitative Theory of Sampled-Data Systems, (Russian translation), Mir, Moscow (1971). (1971) MR0352577
- I. Zaballa J. M. Gracia, On difference linear periodic systems I. Homogeneous case, Apl. mat. 28 (1983) 241-248. (1983) MR0710173
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