On the oscillatory behaviour of certain third order nonlinear differential equation

Michal Greguš

Archivum Mathematicum (1992)

  • Volume: 028, Issue: 3-4, page 221-228
  • ISSN: 0044-8753

Abstract

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In this paper we shall study some oscillatory and nonoscillatory properties of solutions of a nonlinear third order differential equation, using the results and methods of the linear differential equation of the third order.

How to cite

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Greguš, Michal. "On the oscillatory behaviour of certain third order nonlinear differential equation." Archivum Mathematicum 028.3-4 (1992): 221-228. <http://eudml.org/doc/247345>.

@article{Greguš1992,
abstract = {In this paper we shall study some oscillatory and nonoscillatory properties of solutions of a nonlinear third order differential equation, using the results and methods of the linear differential equation of the third order.},
author = {Greguš, Michal},
journal = {Archivum Mathematicum},
keywords = {nonlinear third order differential equation; oscillatory or nonoscillatory solutions; band of solutions; adjoint equation; oscillation properties; third order equation; nonlinear},
language = {eng},
number = {3-4},
pages = {221-228},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On the oscillatory behaviour of certain third order nonlinear differential equation},
url = {http://eudml.org/doc/247345},
volume = {028},
year = {1992},
}

TY - JOUR
AU - Greguš, Michal
TI - On the oscillatory behaviour of certain third order nonlinear differential equation
JO - Archivum Mathematicum
PY - 1992
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 028
IS - 3-4
SP - 221
EP - 228
AB - In this paper we shall study some oscillatory and nonoscillatory properties of solutions of a nonlinear third order differential equation, using the results and methods of the linear differential equation of the third order.
LA - eng
KW - nonlinear third order differential equation; oscillatory or nonoscillatory solutions; band of solutions; adjoint equation; oscillation properties; third order equation; nonlinear
UR - http://eudml.org/doc/247345
ER -

References

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  1. On the oscillatory behaviour of a third order nonlinear differential equation, Nonlinear Analysis 15 (1990), 141-153. (1990) MR1065248
  2. On a nonlinear binomial equation of the third order, Zeitschrift für Analysis und ihre Anwendungen 11, (1992) 1, 117-124. MR1263957
  3. Third order linear differential equation, Reidel Publishing Company, Dordrecht, Boston, Lancaster, Tokyo, 1982. (1982) MR0882545
  4. On the third order nonlinear ordinary differential equation, Proc. of Equadiff 7, Prague (1989), 80 - 83. (1989) 
  5. Studi sulle equazioni differenziali lineari omogenee, Rev. Math. y Fis. teor. Ser. A (1948), 195-253. (1948) Zbl0041.41903MR0027404

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