# 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)

Mathematica Bohemica (1999)

- Volume: 124, Issue: 4, page 351-379
- 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 (Cauchy integral)." Mathematica Bohemica 124.4 (1999): 351-379. <http://eudml.org/doc/248462>.

@article{Fischer1999,

abstract = {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.},

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 = {4},

pages = {351-379},

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 (Cauchy integral)},

url = {http://eudml.org/doc/248462},

volume = {124},

year = {1999},

}

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 (Cauchy integral)

JO - Mathematica Bohemica

PY - 1999

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

VL - 124

IS - 4

SP - 351

EP - 379

AB - 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.

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/248462

ER -

## References

top- Amerio L., Prouse G., Almost Periodic Functious and Functional Equations, N.Y. Van Nostrand Reinhold Company, 1971. (1971) MR0275061
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- Bochner S., 10.1007/BF01209156, Math. Ann. 96 (1927), 119-147. (1927) MR1512308DOI10.1007/BF01209156
- Bochner S., 10.1007/BF02547790, Acta Math. 61 (1933), 149-184. (1933) Zbl0007.11201MR1555374DOI10.1007/BF02547790
- Fink A. M., Almost Periodic Differential Equations, Lecture Notes in Mathematics, Springer, New York, 1978. (1978) MR0460799
- Fischer A., Existence of almost periodic solution of systems of linear and quasilinear differential equations with time lag, Czechoslovak Math J. 106 (1981). (1981) MR0629724
- Levitan B. M., Almost Periodic Functions, GIZTL, Moskva, 1953. (In Russian.) (1953) Zbl1222.42002MR0060629
- Levitan B. M., Žikov V. V., Almost Periodic Functions and Differential Equations, IMU, Moskva, 1978. (In Russian.) (1978) MR0509035
- Šimanov S. N, Almost periodic functions and differential equations with tíme lag, VUZ SSSR, Matematika 4(5) (1959). (In Russian.) (1959)

## Citations in EuDML Documents

top- Alexandr Fischer, Almost periodic solutions with a prescribed spectrum of linear and quasilinear differential equations with almost periodic coefficients and constant time lag (Neutral differential equations)
- Alexandr Fischer, 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)

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