On the existence of monotone solutions to a certain class of n -th order nonlinear differential equations

Oleg Palumbíny

Mathematica Slovaca (1997)

  • Volume: 47, Issue: 5, page 527-537
  • ISSN: 0232-0525

How to cite

top

Palumbíny, Oleg. "On the existence of monotone solutions to a certain class of $n$-th order nonlinear differential equations." Mathematica Slovaca 47.5 (1997): 527-537. <http://eudml.org/doc/34465>.

@article{Palumbíny1997,
author = {Palumbíny, Oleg},
journal = {Mathematica Slovaca},
keywords = {nonlinear differential equation; quasi-derivative; monotone solution},
language = {eng},
number = {5},
pages = {527-537},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On the existence of monotone solutions to a certain class of $n$-th order nonlinear differential equations},
url = {http://eudml.org/doc/34465},
volume = {47},
year = {1997},
}

TY - JOUR
AU - Palumbíny, Oleg
TI - On the existence of monotone solutions to a certain class of $n$-th order nonlinear differential equations
JO - Mathematica Slovaca
PY - 1997
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 47
IS - 5
SP - 527
EP - 537
LA - eng
KW - nonlinear differential equation; quasi-derivative; monotone solution
UR - http://eudml.org/doc/34465
ER -

References

top
  1. BARRETT J. H., Two-point boundary problems for linear self-adjoint differential equations of the fourth-order with middle term, Duke Math. J. 29 (1962), 543-554. (1962) Zbl0108.08204MR0148981
  2. HARTMAN P., Ordinary Differential Equations, John Wiley & Sons, New York, 1964. (1964) Zbl0125.32102MR0171038
  3. LEIGHTON W., NEHARI Z., On the oscillation of solutions of self-adjoint linear differential equations of the fourth order, Trans. Ameг. Math. Soc. 89 (1958), 325-377. (1958) MR0102639
  4. PHILOS, CH. G., Oscillation and asymptotic behaviour of third order linear differential equations, Bull. Inst. Math. Acad. Sinica 11 (1983), 141-160. (1983) MR0723022
  5. REGENDA J., Oscillatory and nonoscillatory properties of solutions of the differential equation y ( 4 ) + P ( t ) y ' ' + Q ( t ) y = 0 , Math. Slovaca 28 (1978), 329-342. (1978) MR0534812
  6. ROVDER J., Comparison theorems for third-order linear differential equations, Bull. Inst. Math. Acad. Sinica 19 (1991), 43-52. (1991) Zbl0726.34029MR1144391
  7. ROVDEROVA E., Existence of a monotone solution of a nonlinear differential equation, J. Math. Anal. Appl. 192 (1995), 1-15. (192) MR1329409
  8. SHAIR A., On the oscillation of solutions of a class of linear fourth order differential equations, Pacific J. Math. 34 (1970), 289-299. (1970) MR0268455
  9. ŠKERLÍK A., Criteria of property A for third order superlinear differential equations, Math. Slovaca 43 (1993), 171-183. (1993) Zbl0776.34028MR1274600
  10. ŠVEC M., On various properties of the solutions of third and fourth order linear differential equations, In: Proceedings of the conference held in Prague in September 1962, pp. 187-198. (1962) MR0174825
  11. ŠVEC M., Über einige neue Eigenschaften der oszillatorischen Lösungen der linearen homogenen Differentialgleichung vierter Ordnung,/, Czechoslovak Math. J. 4(79) (1954), 75-94. (1954) MR0065745
  12. TÓTHOVÁ M.-PALUMBÍNY O., On monotone solutions of the fourth order ordinary differential equations, Czechoslovak Math. J. 45(120) (1995), 737-746. (1995) Zbl0849.34023MR1354930

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.