Necessary and sufficient conditions for bounded oscillations of higher order delay differential equations of Euler's type

Jaroslav Jaroš

Czechoslovak Mathematical Journal (1989)

  • Volume: 39, Issue: 4, page 701-710
  • ISSN: 0011-4642

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Jaroš, Jaroslav. "Necessary and sufficient conditions for bounded oscillations of higher order delay differential equations of Euler's type." Czechoslovak Mathematical Journal 39.4 (1989): 701-710. <http://eudml.org/doc/13820>.

@article{Jaroš1989,
author = {Jaroš, Jaroslav},
journal = {Czechoslovak Mathematical Journal},
keywords = {bounded solutions; autonomous differential delayed equation},
language = {eng},
number = {4},
pages = {701-710},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Necessary and sufficient conditions for bounded oscillations of higher order delay differential equations of Euler's type},
url = {http://eudml.org/doc/13820},
volume = {39},
year = {1989},
}

TY - JOUR
AU - Jaroš, Jaroslav
TI - Necessary and sufficient conditions for bounded oscillations of higher order delay differential equations of Euler's type
JO - Czechoslovak Mathematical Journal
PY - 1989
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 39
IS - 4
SP - 701
EP - 710
LA - eng
KW - bounded solutions; autonomous differential delayed equation
UR - http://eudml.org/doc/13820
ER -

References

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  1. T. A. Čanturia, On specific criteria of oscillation of solutions of linear differential equations with retarded argument, Ukrajin. Mat. Žurn. 38 (1986), 662-665 (Russian). (1986) MR0870376
  2. J. Jaroš, Necessary and sufficient conditions for oscillations of first order delay differential equations and inequalities, submitted for publication. 
  3. I. T. Kiguradze, On the oscillation of solutions of the equation d m u d t m + a ( t ) | u | n s g n u = 0 , Mat. Sb. 65 (1964), 172-187 (Russian). (1964) Zbl0135.14302MR0173060
  4. R. G. Koplatadze, T. A. Čanturia, "On oscillatory properties of differential equations with deviating arguments", Tbilisi Univ. Press, Tbilisi, 1977 (Russian). (1977) 
  5. T. Kusano, 10.1016/0022-0396(82)90055-9, J. Differential Equations 45 (1982), 75-84. (1982) MR0662487DOI10.1016/0022-0396(82)90055-9
  6. G. Ladas, I. P. Stavroulakis, 10.4153/CMB-1982-049-8, Canad. Math. Bull. 25 (1982), 348-354. (1982) MR0668953DOI10.4153/CMB-1982-049-8
  7. G. Ladas Y. G. Sficas, I. P. Stavroulakis, 10.2307/2323283, Amer. Math. Monthly 90 (1983), 637-640. (1983) MR0719755DOI10.2307/2323283
  8. G. Ladas Y. G. Sficas, I. P. Stavroulakis, 10.1090/S0002-9947-1984-0748831-8, Trans. Amer. Math. Soc. 285 (1984), 81-90. (1984) MR0748831DOI10.1090/S0002-9947-1984-0748831-8
  9. G. Ladas, I. P. Stavroulakis, Oscilations of differential equations of the mixed type, J. Math. Phys. Sciences 18 (1984), 245-262. (1984) MR0811966
  10. V. A. Nadareišvili, On oscillatory and monotonic solutions of first order differential equations with retarded arguments, Reports of Enlarged Sessions of the Seminar of I. N. Vekua Institute of Applied Mathematics 1 (1985), 111-115 (Russian). (1985) 
  11. Ch. G. Philos, 10.1007/BF01223686, Arch. Math. 36 (1981), 168-178. (1981) MR0619435DOI10.1007/BF01223686

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