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Title: On the existence of square integrable solutions and their derivatives to fourth and fifth order differential equations (English)
Title: O existenci kvadraticky integrovatelných řešení a jejich derivací diferenciálních rovnic čtvrtého a pátého řádu (Czech)
Author: Andres, Ján
Author: Vlček, Vladimír
Language: English
Journal: Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
ISSN: 0231-9721
Volume: 28
Issue: 1
Year: 1989
Pages: 65-86
Summary lang: Czech
Summary lang: English
Summary lang: Russian
Category: math
MSC: 34A30
MSC: 34A34
idZBL: Zbl 0711.34012
idMR: MR1053729
Date available: 2009-01-29T15:34:57Z
Last updated: 2012-05-03
Stable URL:
Reference: [1] Andres J.: A useful proposition to nonlinear differential systems with a solution of the prescribed asymptotic properties.Acta UPO 85, Math.XXV (1986), 157-164. Zbl 0641.34036, MR 0918373
Reference: [2] Yoshizawa T.: Stability theory by Liapunov’s second method.The Math.Soc.Japan, Tokyo 1966. MR 0208086
Reference: [3] Andres J.: Boundedness results to the equation x"* + ax" + g(x)x* + h(x) ■ p(x) without the hypothesis h(x)sgn x -= 0 for |x| > R.Atti Accad.Naz.Lincei 80, 5 (1986), 533-539. Zbl 0722.34027, MR 0976947
Reference: [4] Voráček J.: Über D’-divergente Lösungen der Differentialgleichung x(n) ■ f(x,x',...,x(n-1);t).Acta UPO 41 (1973), 83-89. MR 0355221
Reference: [5] Vlček V.: On the boundedness of solutions of a certain fourth-order nonlinear differential equation.Acta UPO 89, Math. XXVII, Vol. 91 (1988), (in print). Zbl 0719.34060, MR 1039895
Reference: [6] Andres J.: Boundedness of solutions of the third order differential equation with oscillatory restoring and forcing terms.Czech.Math.J. 36, 1 (1986), 1-6. Zbl 0608.34039, MR 0822859
Reference: [7] Andres J.: Dichotomies for solutions of a certain third order nonlinear differential equation, which is not from the class D.Fasc.Math. 17 (1987), 55-62. MR 0942320
Reference: [8] Vlček V.: Boundedness of solutions of a certain fifth-order nonlinear differential equation.(this volume). Zbl 0712.34050


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