| Title:
|
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) (English) |
| Author:
|
Fischer, Alexandr |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
124 |
| Issue:
|
4 |
| Year:
|
1999 |
| Pages:
|
351-379 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
This paper generalizes earlier author's results where the linear and quasilinear equations with constant coefficients were treated. Here the method of limit passages and a fixed-point theorem is used for the linear and quasilinear equations with almost periodic coefficients. (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:
|
34K14 |
| MSC:
|
42A75 |
| MSC:
|
43A60 |
| idZBL:
|
Zbl 0936.42003 |
| idMR:
|
MR1722873 |
| DOI:
|
10.21136/MB.1999.126000 |
| . |
| Date available:
|
2009-09-24T21:38:56Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126000 |
| . |
| Reference:
|
[1] Amerio L., Prouse G.: Almost Periodic Functious and Functional Equations.N.Y. Van Nostrand Reinhold Company, 1971. MR 0275061 |
| Reference:
|
[2] Bohr H.: Zur Theorie der fastperiodischen Funktionen.Acta Math. 45 (1925), 29-127; 46 (1925), 101-214; 47 (1926), 237-281. MR 1555216 |
| Reference:
|
[3] Bochner S.: Beiträge zur Theorie der fastperiodeschen Funktionen.Math. Ann. 96 (1927), 119-147. MR 1512308, 10.1007/BF01209156 |
| Reference:
|
[4] Bochner S.: Abstrakte fastperiodische Funktionen.Acta Math. 61 (1933), 149-184. Zbl 0007.11201, MR 1555374, 10.1007/BF02547790 |
| Reference:
|
[5] Fink A. M.: Almost Periodic Differential Equations.Lecture Notes in Mathematics, Springer, New York, 1978. MR 0460799 |
| Reference:
|
[6] Fischer A.: Existence of almost periodic solution of systems of linear and quasilinear differential equations with time lag.Czechoslovak Math J. 106 (1981). MR 0629724 |
| Reference:
|
[7] Levitan B. M.: Almost Periodic Functions.GIZTL, Moskva, 1953. (In Russian.) Zbl 1222.42002, MR 0060629 |
| Reference:
|
[8] Levitan B. M., Žikov V. V.: Almost Periodic Functions and Differential Equations.IMU, Moskva, 1978. (In Russian.) MR 0509035 |
| Reference:
|
[9] Šimanov S. N: Almost periodic functions and differential equations with tíme lag.VUZ SSSR, Matematika 4(5) (1959). (In Russian.) |
| . |
