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Article

Greguš, M.
On a perturbed nonlinear third order differential equation. (English). Archivum Mathematicum, vol. 33 (1997), issue 1, pp. 121-126
MSC: 34C10, 34C15 | MR 1464306 | Zbl 0914.34028
Keywords:
asymptotic properties; nonlinear equation; perturbed third order differential equation
Summary:
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].
References:
[1] M. Cecchi, M. Marini: On the Oscillatory Behaviour of a Third Order Nonlinear Differential Equation. Nonlinear Anal., 15 (1990), 141-153. MR 1065248
[2] J. D. C. Ezeilo: Stability Results for the Solutions of Some Third and Fourth Order Differential Equations. Ann. Mat. Pura Appl. 66 (1964), 233-249. MR 0173831 | Zbl 0126.30403
[3] M. Greguš: Third Order Linear Differential Equations. D. Reidel Publishing Company, Dordrecht, Boston, Lancaster, 1987. MR 0882545
[4] M. Greguš, M. Greguš, Jr.: 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. MR 1249110
[5] M. Ráb: Asymptotische Eigenschaften der Lösungen linearer Differentialgleichungen dritter Ordnung. Spisy PřF MU Brno, 379, 1956, 1-14. MR 0096015
[6] M. Zlámal: Asymptotic Properties of the Solutions of the Third Order Linear Differential Equations. Spisy PřF MU Brno, 1951, 159-167. MR 0057412
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