| 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:
|
http://hdl.handle.net/10338.dmlcz/104170 |
| . |
| 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 |
| . |
