On a perturbed nonlinear third order differential equation

Michal Greguš

Archivum Mathematicum (1997)

  • Volume: 033, Issue: 1-2, page 121-126
  • ISSN: 0044-8753

Abstract

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In this paper we will study some asymptotic properties of a nonlinear third order differential equation viewed as a perturbation of a simpler nonlinear equation investigated recently by the authors in [4].

How to cite

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Greguš, Michal. "On a perturbed nonlinear third order differential equation." Archivum Mathematicum 033.1-2 (1997): 121-126. <http://eudml.org/doc/248030>.

@article{Greguš1997,
abstract = {In this paper we will study some asymptotic properties of a nonlinear third order differential equation viewed as a perturbation of a simpler nonlinear equation investigated recently by the authors in [4].},
author = {Greguš, Michal},
journal = {Archivum Mathematicum},
keywords = {asymptotic properties; nonlinear equation; perturbed third order differential equation; asymptotic properties; nonlinear equation; perturbed third-order differential equation},
language = {eng},
number = {1-2},
pages = {121-126},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {On a perturbed nonlinear third order differential equation},
url = {http://eudml.org/doc/248030},
volume = {033},
year = {1997},
}

TY - JOUR
AU - Greguš, Michal
TI - On a perturbed nonlinear third order differential equation
JO - Archivum Mathematicum
PY - 1997
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 033
IS - 1-2
SP - 121
EP - 126
AB - In this paper we will study some asymptotic properties of a nonlinear third order differential equation viewed as a perturbation of a simpler nonlinear equation investigated recently by the authors in [4].
LA - eng
KW - asymptotic properties; nonlinear equation; perturbed third order differential equation; asymptotic properties; nonlinear equation; perturbed third-order differential equation
UR - http://eudml.org/doc/248030
ER -

References

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  1. On the Oscillatory Behaviour of a Third Order Nonlinear Differential Equation, Nonlinear Anal., 15 (1990), 141-153. MR1065248
  2. Stability Results for the Solutions of Some Third and Fourth Order Differential Equations, Ann. Mat. Pura Appl. 66 (1964), 233-249. Zbl0126.30403MR0173831
  3. Third Order Linear Differential Equations, D. Reidel Publishing Company, Dordrecht, Boston, Lancaster, 1987. MR0882545
  4. Asymptotic Properties of Solutions of a Certain Nonautonomous Nonlinear Differential Equation of the Third Order, Bolletino U.M.I., (7) 7-A (1993), 341-350. MR1249110
  5. Asymptotische Eigenschaften der Lösungen linearer Differentialgleichungen dritter Ordnung, Spisy PřF MU Brno, 379, 1956, 1-14. MR0096015
  6. Asymptotic Properties of the Solutions of the Third Order Linear Differential Equations, Spisy PřF MU Brno, 1951, 159-167. MR0057412

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