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

Mathematica Bohemica (2012)

  • Volume: 137, Issue: 3, page 293-310
  • ISSN: 0862-7959

Abstract

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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.

How to cite

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Fischer, Alexandr. "Almost periodic solutions with a prescribed spectrum of linear and quasilinear differential equations with almost periodic coefficients and constant time lag (Neutral differential equations)." Mathematica Bohemica 137.3 (2012): 293-310. <http://eudml.org/doc/246154>.

@article{Fischer2012,
abstract = {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.},
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; almost periodic solution; distance of two spectra; time lag; neutral differential equation; neutral differential equation; almost periodic function; Fourier coefficients},
language = {eng},
number = {3},
pages = {293-310},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
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)},
url = {http://eudml.org/doc/246154},
volume = {137},
year = {2012},
}

TY - JOUR
AU - Fischer, Alexandr
TI - Almost periodic solutions with a prescribed spectrum of linear and quasilinear differential equations with almost periodic coefficients and constant time lag (Neutral differential equations)
JO - Mathematica Bohemica
PY - 2012
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 137
IS - 3
SP - 293
EP - 310
AB - 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.
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; almost periodic solution; distance of two spectra; time lag; neutral differential equation; neutral differential equation; almost periodic function; Fourier coefficients
UR - http://eudml.org/doc/246154
ER -

References

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  1. Amerio, L., Prouse, G., Almost Periodic Functions and Functional Equations, Van Nostrand Reihold Company, New York (1971). (1971) Zbl0215.15701MR0275061
  2. Bochner, S., 10.1007/BF02547790, Acta Math. 61 (1933), 149-184. (1933) MR1555374DOI10.1007/BF02547790
  3. Corduneanu, C., Almost Periodic Functions, Wiley Interscience, New York (1968). (1968) Zbl0175.09101MR0481915
  4. Fink, A. M., Almost Periodic Differential Equations, Lecture Notes in Mathematics, Springer, New York (1978). (1978) MR0460799
  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. (1981) MR0629724
  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. (1999) MR1722873
  7. Levitan, B. M., Zhikov, V. V., Almost Periodic Functions and Differential Equations, Cambridge Univ. Press, Cambridge (1982). (1982) Zbl0499.43005MR0690064
  8. Shimanov, S. N., Almost Periodic Functions and Differential Equations with Time Lag, VUZ SSSR, Matematika 4 (1959), Russian. (1959) 

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