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Andres, Ján ; Vlček, Vladimír
On the existence of square integrable solutions and their derivatives to fourth and fifth order differential equations. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 28 (1989), issue 1, pp. 65-86
MSC: 34A30, 34A34 | MR 1053729 | Zbl 0711.34012
References:
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[2] Yoshizawa T.: Stability theory by Liapunov’s second method. The Math.Soc.Japan, Tokyo 1966. MR 0208086
[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. MR 0976947 | Zbl 0722.34027
[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
[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). MR 1039895 | Zbl 0719.34060
[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. MR 0822859 | Zbl 0608.34039
[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
[8] Vlček V.: Boundedness of solutions of a certain fifth-order nonlinear differential equation. (this volume). Zbl 0712.34050
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