| Title:
|
Almost periodic solutions with a prescribed spectrum of linear and quasilinear differential equations with almost periodic coefficients and constant time lag (Neutral differential equations) (English) |
| Author:
|
Fischer, Alexandr |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
137 |
| Issue:
|
3 |
| Year:
|
2012 |
| Pages:
|
293-310 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper is the extension of the author's previous papers and solves more complicated problems. Almost periodic solutions of a certain type of almost periodic linear or quasilinear systems of neutral differential equations are dealt with. (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:
|
almost periodic solution |
| Keyword:
|
distance of two spectra |
| Keyword:
|
time lag |
| Keyword:
|
neutral differential equation |
| MSC:
|
34A25 |
| MSC:
|
34C27 |
| MSC:
|
34K14 |
| MSC:
|
34K40 |
| MSC:
|
42A75 |
| idZBL:
|
Zbl 1265.34256 |
| idMR:
|
MR3112489 |
| DOI:
|
10.21136/MB.2012.142896 |
| . |
| Date available:
|
2012-08-19T21:22:56Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142896 |
| . |
| Reference:
|
[1] Amerio, L., Prouse, G.: Almost Periodic Functions and Functional Equations.Van Nostrand Reihold Company, New York (1971). Zbl 0215.15701, MR 0275061 |
| Reference:
|
[2] Bochner, S.: Abstrakte fastperiodischen Funktionen.Acta Math. 61 (1933), 149-184. MR 1555374, 10.1007/BF02547790 |
| Reference:
|
[3] Corduneanu, C.: Almost Periodic Functions.Wiley Interscience, New York (1968). Zbl 0175.09101, MR 0481915 |
| 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.Czech. Math. J. 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 lag (Cauchy integral).Math. Bohem. 124 (1999), 351-379. MR 1722873 |
| Reference:
|
[7] Levitan, B. M., Zhikov, V. V.: Almost Periodic Functions and Differential Equations.Cambridge Univ. Press, Cambridge (1982). Zbl 0499.43005, MR 0690064 |
| Reference:
|
[8] Shimanov, S. N.: Almost Periodic Functions and Differential Equations with Time Lag.VUZ SSSR, Matematika 4 (1959), Russian. |
| . |
