On the bounds for mean-values of solutions to certain third-order non-linear differential equations

• Autorzy: Afuwape A. U. , Adesina O. A.
• Języki publikacji: EN

Abstrakty

EN

In this paper, the issue of bounds for the mean-values of solutions of some third-order differential equations with non-linear terms is considered. It is shown that these bounds are independent of the solutions for the considered equations.

Słowa kluczowe

EN

mean-values; bounded solution; third-order equations

PL

równanie różniczkowe trzeciego rzędu; wartość średnia

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2005
• Tom: Nr 36
• Strony: 5--14
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Afuwape A. U.

• Department of Mathematics, Obafemi Awolowo University Ile-Ife, Nigeria

autor

Adesina O. A.

• Department of Mathematics, Obafemi Awolowo University Ile-Ife

Bibliografia

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• [4] Andres J., On local ω-cycles to certan third-order non-linear differential equations, Fasc. Math., 17(1987), 49-54.
• [5] Andres J., Dichotomies for solutions of a certan third-order non-linear differential equations which is not from the class D, Fasc. Math., 17(1987), 55-62.
• [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.
• [7] Barbalat I., Halanay A., Applications of the frequency-domain method to forced non-linear oscillations, Math. Nachr., 44(1970), 165-179.
• [8] Mawhin, J., Degré topologique et solutions périodiques des systémes différentiells non linéaires. Bull. Soc. Roy. Sci. Liége, 38(7)(1969), 308-398.
• [9] Rouche N., Mawhin J., Equations Différentiells Ordinaires, Masson, Pans, vol. 2, 1973.