On the asymptotic behaviour of solutions of some functional-differential equations

Jan Čermák

Mathematica Slovaca (1998)

  • Volume: 48, Issue: 2, page 187-212
  • ISSN: 0232-0525

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Čermák, Jan. "On the asymptotic behaviour of solutions of some functional-differential equations." Mathematica Slovaca 48.2 (1998): 187-212. <http://eudml.org/doc/31745>.

@article{Čermák1998,
author = {Čermák, Jan},
journal = {Mathematica Slovaca},
keywords = {functional-differential equation; functional equation},
language = {eng},
number = {2},
pages = {187-212},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On the asymptotic behaviour of solutions of some functional-differential equations},
url = {http://eudml.org/doc/31745},
volume = {48},
year = {1998},
}

TY - JOUR
AU - Čermák, Jan
TI - On the asymptotic behaviour of solutions of some functional-differential equations
JO - Mathematica Slovaca
PY - 1998
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 48
IS - 2
SP - 187
EP - 212
LA - eng
KW - functional-differential equation; functional equation
UR - http://eudml.org/doc/31745
ER -

References

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  1. de BRUIJN N. G., The asymptotically periodic behavior of the solutions of some linear functional equations, Amer. J. Math. 71 (1949), 313-330. (1949) Zbl0033.27002MR0029065
  2. GRAMMATIKOPOULOS M. K.-KULENOVIC M. R., Oscillatory and asymptotic properties of first order differential equations and inequalities with a deviating argument, Math. Nachr. 123 (1985), 7-21. (1985) Zbl0613.34058MR0809329
  3. HALE J. K.-VERDUYN LUNEL S. M., Introduction to Functional Differential Equations, Springer-Verlag, New-York, 1993. (1993) MR1243878
  4. KATO T.-McLEOD J. B., The functional differential equation y ' ( x ) = a y ( λ x ) + b y ( x ) , Bull. Amer. Math. Soc. 77 (1971), 891-937. (1971) Zbl0236.34064MR0283338
  5. KUCZMA M.-CHOCZEWSKI B.-GER R., Iterative Functional Equations, Encyclopedia Math. Appl., Cambridge University Press, Cambridge, 1990. (1990) Zbl0703.39005MR1067720
  6. LADAS G.-SFICAS Y. G.-STAVROULAKIS I. P., Asymptotic behavior of solutions of retarded differential equations, Proc. Amer. Math. Soc. 88 (1983), 247 253. (1983) Zbl0521.34070MR0695252
  7. LADDE G. S.-LAKSHMIKANTHAM V., ZHANG B. G., Oscillation Theory of Differential Equations with Deviating Argument, Marcel Dekker, Inc., New York, 1987. (1987) MR1017244
  8. LEVITAN B. M., Some problems of the theory of almost periodic functions, Uspekhi Mat. Nauk 2 (1947), 133-192. (1947) MR0027358
  9. NEUMAN F., Transformations and canonical forms of functional-differential equations, Proc. Roy. Soc. Edinburgh Sect. A 115 (1990), 349-357. (1990) MR1069527
  10. PITUK M., On the limits of solutions of functional differential equations, Math. Bohem. 118 (1993), 53-66. (1993) Zbl0778.34056MR1213833

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