On singular solutions of third order differential equations

Miroslav Bartušek

Mathematica Slovaca (2001)

  • Volume: 51, Issue: 2, page 231-239
  • ISSN: 0139-9918

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Bartušek, Miroslav. "On singular solutions of third order differential equations." Mathematica Slovaca 51.2 (2001): 231-239. <http://eudml.org/doc/31694>.

@article{Bartušek2001,
author = {Bartušek, Miroslav},
journal = {Mathematica Slovaca},
keywords = {third-order differential equation; singular solution; Kneser singular solution},
language = {eng},
number = {2},
pages = {231-239},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On singular solutions of third order differential equations},
url = {http://eudml.org/doc/31694},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Bartušek, Miroslav
TI - On singular solutions of third order differential equations
JO - Mathematica Slovaca
PY - 2001
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 51
IS - 2
SP - 231
EP - 239
LA - eng
KW - third-order differential equation; singular solution; Kneser singular solution
UR - http://eudml.org/doc/31694
ER -

References

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  6. GREGUŠ M.-GREGUŠ M. jr., Remark concerning oscillatory properties of solutions of a certain nonlinear equations of the third order, Arch. Math. (Brno) 29 (1992), 51-55. (1992) MR1201865
  7. GREGUŠ M.-GREGUŠ M. jr., On oscillatory properties of solutions of a certain nonlinear third order differential equations, J. Math. Anal. Appl. 181 (1994), 575-585. (1994) MR1264533
  8. HARTMAN P., Ordinary Differential Equations, Birkhauser, Boston, 1982. (1982) Zbl0476.34002MR0658490
  9. KIGURADZE I.-CHANTURIA I., Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations, Nauka, Moskow, 1990. (1990) 
  10. MORAVSKÝ L., Some oscillatory properties of solutions of nonlinear differential equation oftheform y ' ' ' + p ( x ) y ' ' + q ( x ) f ( y ' ) + r ( x ) h ( y ) = 0 , , Arch. Math. (Brno) XI (1975), 139-150. (Russian) (1975) MR0412518
  11. PARHI N.-DAS P., Oscillation criteria for a class of nonlinear differential equations of third order, Ann. Polon. Math. LVII (1992), 219-229. (1992) Zbl0771.34024MR1201849
  12. PARHI N.-DAS P., Oscillatory and asymptotic behaviour of a class of nonlinear differential equations of a third order, Math. Acta. Scien. 18 (1998), 95-106. (1998) MR1624073
  13. SINGH Y. P., Some oscillation theorems for third order non-linear differential equations, Yokohama Math. J. 18 (1970), 77-86. (1970) Zbl0216.36901MR0283300
  14. WALTMAN P., Oscillation criteria for third order nonlinear differential equations, Pacific J. Math. 18 (1966), 385-389. (1966) Zbl0144.11403MR0200531

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