| Title:
|
Almost periodic solutions with a prescribed spectrum of systems of linear and quasilinear differential equations with almost periodic coefficients and constant time lag (Fourier transform approach) (English) |
| Author:
|
Fischer, Alexandr |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
129 |
| Issue:
|
1 |
| Year:
|
2004 |
| Pages:
|
43-70 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper is a continuation of my previous paper in Mathematica Bohemica and solves the same problem but by means of another method. It deals with almost periodic solutions of a certain type of almost periodic systems of differential equations. (English) |
| Keyword:
|
almost periodic function |
| Keyword:
|
Fourier coefficient |
| Keyword:
|
Fourier exponent |
| Keyword:
|
spectrum of almost periodic function |
| Keyword:
|
almost periodic system of differential equations |
| Keyword:
|
formal almost periodic solution |
| Keyword:
|
distance of two spectra |
| Keyword:
|
time lag |
| MSC:
|
34C27 |
| MSC:
|
34K06 |
| MSC:
|
34K14 |
| MSC:
|
42A75 |
| MSC:
|
43A60 |
| idZBL:
|
Zbl 1055.42005 |
| idMR:
|
MR2048786 |
| DOI:
|
10.21136/MB.2004.134110 |
| . |
| Date available:
|
2009-09-24T22:12:33Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134110 |
| . |
| Reference:
|
[1] Amerio, L., Prouse, G.: Almost Periodic Functions and Functional Equations.N. Y. Nostrand Reinhold Company, 1971. MR 0275061 |
| Reference:
|
[2] Bochner, S.: Lectures on Fourier Integrals.Princeton University Press, 1959. Zbl 0085.31802, MR 0107124 |
| Reference:
|
[3] Coppel, W. A.: Almost periodic properties of ordinary differential equations.Ann. Mat. Pura Appl., IV. Ser. 76 (1967), 27–49. Zbl 0153.12301, MR 0221024, 10.1007/BF02412227 |
| Reference:
|
[4] Fink, A. M.: Almost Periodic Differential Equations.Lecture Notes in Mathematics, Springer, New York, 1978. MR 0460799 |
| Reference:
|
[5] Fischer, A.: Existence of almost periodic solution of systems of linear and quasilinear differential equations with time lag.Čas. Pěst. Mat. 106 (1981), 256–268. MR 0629724 |
| Reference:
|
[6] Fischer, A.: Almost periodic solutions with a prescribed spectrum of systems of linear and quasilinear differential equations with almost periodic coefficients and constant time lag (Cauchy integral).Math. Bohem. 124 (1999), 351–379. Zbl 0936.42003, MR 1722873 |
| Reference:
|
[7] Levitan, B. M.: Almost Periodic Functions.GIZTL, Moskva, 1953. (Russian) MR 0060629 |
| Reference:
|
[8] Levitan, B. M., Žikov, V. V.: Almost Periodic Functions and Differential Equations.IMU, Moskva, 1978. (Russian) MR 0509035 |
| . |
