Previous |  Up |  Next


Title: On difference linear periodic systems II. Non-homogeneous case (English)
Author: Zaballa, Ion
Author: Gracia, Juan M.
Language: English
Journal: Aplikace matematiky
ISSN: 0373-6725
Volume: 30
Issue: 6
Year: 1985
Pages: 403-412
Summary lang: English
Summary lang: Czech
Summary lang: Russian
Category: math
Summary: 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. (English)
Keyword: reduction
Keyword: explicit solution
Keyword: non-homogeneous system
Keyword: periodic system
Keyword: asymptotic behaviour
Keyword: periodic solutions
MSC: 39A10
MSC: 39A11
MSC: 39A12
MSC: 93D05
idZBL: Zbl 0588.39001
idMR: MR0813529
DOI: 10.21136/AM.1985.104170
Date available: 2008-05-20T18:28:41Z
Last updated: 2020-07-28
Stable URL:
Reference: [1] R. Bellman: On the boundedness of solutions of nonlinear differential and difference equations.Trans. Amer. Math. Soc. 62 (1974), no. 3, 357-386. MR 0023996, 10.1090/S0002-9947-1947-0023996-1
Reference: [2] A. Halanay D. Wexler: Qualitative Theory of Sampled-Data Systems.(Russian translation), Mir, Moscow (1971). MR 0352577
Reference: [3] I. Zaballa J. M. Gracia: On difference linear periodic systems I. Homogeneous case.Apl. mat. 28 (1983) 241-248. MR 0710173


Files Size Format View
AplMat_30-1985-6_3.pdf 1.010Mb application/pdf View/Open
Back to standard record
Partner of
EuDML logo