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)

Alexandr Fischer

Mathematica Bohemica (2004)

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

Abstract

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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.

How to cite

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Fischer, 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

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  1. Almost Periodic Functions and Functional Equations, N. Y. Nostrand Reinhold Company, 1971. (1971) MR0275061
  2. Lectures on Fourier Integrals, Princeton University Press, 1959. (1959) Zbl0085.31802MR0107124
  3. 10.1007/BF02412227, Ann. Mat. Pura Appl., IV. Ser. 76 (1967), 27–49. (1967) Zbl0153.12301MR0221024DOI10.1007/BF02412227
  4. Almost Periodic Differential Equations, Lecture Notes in Mathematics, Springer, New York, 1978. (1978) MR0460799
  5. 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
  6. 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
  7. Almost Periodic Functions, GIZTL, Moskva, 1953. (Russian) (1953) MR0060629
  8. Almost Periodic Functions and Differential Equations, IMU, Moskva, 1978. (Russian) (1978) MR0509035

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