On the relation between boundedness and oscillation of solutions of many-dimensional differential systems with deviating arguments

Pavol Marušiak; Vladimir Nikolajevič Shevelo

Czechoslovak Mathematical Journal (1987)

  • Volume: 37, Issue: 4, page 559-566
  • ISSN: 0011-4642

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Marušiak, Pavol, and Shevelo, Vladimir Nikolajevič. "On the relation between boundedness and oscillation of solutions of many-dimensional differential systems with deviating arguments." Czechoslovak Mathematical Journal 37.4 (1987): 559-566. <http://eudml.org/doc/13667>.

@article{Marušiak1987,
author = {Marušiak, Pavol, Shevelo, Vladimir Nikolajevič},
journal = {Czechoslovak Mathematical Journal},
keywords = {oscillation; regular solutions; deviating arguments},
language = {eng},
number = {4},
pages = {559-566},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the relation between boundedness and oscillation of solutions of many-dimensional differential systems with deviating arguments},
url = {http://eudml.org/doc/13667},
volume = {37},
year = {1987},
}

TY - JOUR
AU - Marušiak, Pavol
AU - Shevelo, Vladimir Nikolajevič
TI - On the relation between boundedness and oscillation of solutions of many-dimensional differential systems with deviating arguments
JO - Czechoslovak Mathematical Journal
PY - 1987
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 37
IS - 4
SP - 559
EP - 566
LA - eng
KW - oscillation; regular solutions; deviating arguments
UR - http://eudml.org/doc/13667
ER -

References

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  1. Foltynska I., Werbowski J., On the oscillatory behaviour of solutions of systems of differential equations with deviating arguments, In. Qual. Theory Diff. Equat. Amsterdam (1981) 1, 243-256. (1981) MR0680596
  2. Kondratev V. A., On oscillation of solutions of the equation y ( n ) + p ( x ) y = 0 , (in Russian). Trudy Mosk. Mat. O-stva, (1961), 10, 419-436. (1961) MR0141842
  3. Marušiak P,, On the oscillation of nonlinear differential systems with retarded arguments, Math. Slovaca 34, N1 (1984), 73-88. (1984) MR0735938
  4. Marušiak P., Oscillatory properties of solutions of nonUnear differential systems with deviating arguments, Czech. Math. J. 36, N2 (1986), 223-231. (1986) MR0831310
  5. Sficas Ch. K., Staikos V. A., The effect of retarded actions on nonlinear oscillations, Proc. Araer. Math. Soc. 46 (1974), 256-264. (1974) Zbl0263.34075MR0355268
  6. Šeda V., On nonlinear differential systems with deviating arguments, Czech. Math. J. 36, N3 (1986), 450-466. (1986) MR0847772
  7. Shevelo V. N., On oscillation of solutions of differential equations with deviating arguments, (in Russian), Kiev, 1978. (1978) MR0492732
  8. Shevelo V. N., Varech N. V., Gritsai A. K., Oscillatory properties of solutions of systems of differential equations with deviating arguments, (in Russian). Inst. Math. Ukr. Acad. of Sciences, Kiev (reprint) 85. 10 (1985), 3-46. (1985) 
  9. Varech N. V., Shevelo V. N., Asymptotic properties of components of solutions of certain many-dimensional systems with deviating arguments, (in Russian). In: Differential-functional equations and their applications. Inst. Math. Ukr. Acad, of Sciences, Kiev (1985), 108-124. (1985) 

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