# 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)

Mathematica Bohemica (2004)

- Volume: 129, Issue: 1, page 43-70
- ISSN: 0862-7959

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topFischer, Alexandr. "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)." Mathematica Bohemica 129.1 (2004): 43-70. <http://eudml.org/doc/249407>.

@article{Fischer2004,

abstract = {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.},

author = {Fischer, Alexandr},

journal = {Mathematica Bohemica},

keywords = {almost periodic function; Fourier coefficient; Fourier exponent; spectrum of almost periodic function; almost periodic system of differential equations; formal almost periodic solution; distance of two spectra; time lag; almost periodic function; Fourier coefficient; Fourier exponent; spectrum of almost periodic function; almost periodic system of differential equations; formal almost periodic solution; distance of two spectra; time lag},

language = {eng},

number = {1},

pages = {43-70},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

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)},

url = {http://eudml.org/doc/249407},

volume = {129},

year = {2004},

}

TY - JOUR

AU - Fischer, Alexandr

TI - 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)

JO - Mathematica Bohemica

PY - 2004

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 129

IS - 1

SP - 43

EP - 70

AB - 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.

LA - eng

KW - almost periodic function; Fourier coefficient; Fourier exponent; spectrum of almost periodic function; almost periodic system of differential equations; formal almost periodic solution; distance of two spectra; time lag; almost periodic function; Fourier coefficient; Fourier exponent; spectrum of almost periodic function; almost periodic system of differential equations; formal almost periodic solution; distance of two spectra; time lag

UR - http://eudml.org/doc/249407

ER -

## References

top- Almost Periodic Functions and Functional Equations, N. Y. Nostrand Reinhold Company, 1971. (1971) MR0275061
- Lectures on Fourier Integrals, Princeton University Press, 1959. (1959) Zbl0085.31802MR0107124
- 10.1007/BF02412227, Ann. Mat. Pura Appl., IV. Ser. 76 (1967), 27–49. (1967) Zbl0153.12301MR0221024DOI10.1007/BF02412227
- Almost Periodic Differential Equations, Lecture Notes in Mathematics, Springer, New York, 1978. (1978) MR0460799
- Existence of almost periodic solution of systems of linear and quasilinear differential equations with time lag, Čas. Pěst. Mat. 106 (1981), 256–268. (1981) MR0629724
- 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. (1999) Zbl0936.42003MR1722873
- Almost Periodic Functions, GIZTL, Moskva, 1953. (Russian) (1953) MR0060629
- Almost Periodic Functions and Differential Equations, IMU, Moskva, 1978. (Russian) (1978) MR0509035

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