Boundedness and oscillatoriness of solutions of a nonlinear differential equation of the second order

Štefan Kulcsár; Pavol Šoltés

Archivum Mathematicum (1983)

  • Volume: 019, Issue: 1, page 43-56
  • ISSN: 0044-8753

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Kulcsár, Štefan, and Šoltés, Pavol. "Boundedness and oscillatoriness of solutions of a nonlinear differential equation of the second order." Archivum Mathematicum 019.1 (1983): 43-56. <http://eudml.org/doc/18103>.

@article{Kulcsár1983,
author = {Kulcsár, Štefan, Šoltés, Pavol},
journal = {Archivum Mathematicum},
keywords = {boundedness; nonlinear oscillations},
language = {eng},
number = {1},
pages = {43-56},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Boundedness and oscillatoriness of solutions of a nonlinear differential equation of the second order},
url = {http://eudml.org/doc/18103},
volume = {019},
year = {1983},
}

TY - JOUR
AU - Kulcsár, Štefan
AU - Šoltés, Pavol
TI - Boundedness and oscillatoriness of solutions of a nonlinear differential equation of the second order
JO - Archivum Mathematicum
PY - 1983
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 019
IS - 1
SP - 43
EP - 56
LA - eng
KW - boundedness; nonlinear oscillations
UR - http://eudml.org/doc/18103
ER -

References

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  1. J. R. Graef P. W. Spikes, Asymptotic behaviour of solutions of a second order nonlinear differential equation, Journal of Differential Equations 17, (1975), 461-476. (1975) MR0361275
  2. I. T. Kiguradze, Zametka ob ograničennosti rešenij differenciaľnych uravnenij, Trudy Tbilisskogo gosudarstvennogo universiteta, t. 110, (1965), 103-107. (1965) MR0208089
  3. P. Šoltés, On certain properties of the solutions of a nonlinear differential equation of the second order, Scripta Fac. Sci. Mat. UJEP Brunensis, Arch. Math. 2, VII, (1971), 47-63. (1971) MR0303012
  4. P. Šoltés, Boundedness and oscillatoriness of solutions of the equation y " + a ( x ) g ( y , y ' ) + b ( x ) f ( y ) h ( y ' ) = 0 , Annales Polonici Mathematici XXVIII, (1973), 291-296. (1973) MR0342770
  5. P. Šoltés, Oscillatoriness of solutions of a nonlinear second order differential equation, Math. Slovaca 26, No. 4, (1976), 337-342. (1976) MR0432978
  6. P. Waltman, Some properties of solutions of u'' + a(t)f(u) = 0, Monatshefte für Mathematik 67, (1963), 50-54. (1963) Zbl0116.29401MR0147700
  7. J. S. Wong, Boundedness theorems for certain general second order nonlinear differential equations, Monatshefte für Mathematik 71, (1967), 80-86. (1967) 
  8. J. S. Wong T. A. Burton, Some properties of solutions u ' ' + a ( t ) f ( u ) g ( u ' ) = 0 , Monatshefte für Mathematik 69, (1965), 368-374. (1965) MR0186885

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