On singular solutions of third order differential equations

Miroslav Bartušek

Mathematica Slovaca (2001)

  • Volume: 51, Issue: 2, page 231-239
  • ISSN: 0232-0525

How to cite

top

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

top
  1. BARTUŠEK M., On the structure of solutions of a system of three differential inequalities, Arch. Math. (Brno) 30 (1994), 117-130. (1994) Zbl0820.34007MR1292563
  2. BARTUŠEK M., On the structure of oscillatory solutions of a third order differential equation, Arch. Math. (Brno) 33 (1997), 323-334. (1997) MR1601345
  3. BARTUŠEK M., On existence of oscillatory solutions of n -th order differential equations with quasiderivatives, Arch. Math. (Brno) 34 (1998), 1-12. (1998) MR1629640
  4. CECCHI M.-MARINI M., Oscillation results for Emden-Fowler type differential equations, J. Math. Anal. Appl. 205 (1997), 406-422. (1997) Zbl0879.34040MR1428356
  5. GREGUŠ M., On the oscillatory behaviour of certain third order nonlinear differential equation, Arch. Math. (Brno) 28 (1992), 221-228. (1992) Zbl0781.34026MR1222290
  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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.