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: 0139-9918

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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

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  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

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