Oscillation theorems for a class of second order nonlinear differentialequation with perturbation

• Autorzy: Zhang Q. , Qiu F. , Ji Z.
• Języki publikacji: EN

Abstrakty

EN

In this paper we discuss the oscillatory and asymptotic behavior of a second order nonlinear dierential equation with perturbation and establish two theorems which develop and generalize some known results.

Słowa kluczowe

EN

oscillation theorems; second order differential equation; differential equations

PL

twierdzenia oscylacyjne; równania drugiego rzędu; równania różniczkowe

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2007
• Tom: Vol. 40, nr 1
• Strony: 95--105
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Zhang Q.

autor

Qiu F.

autor

Ji Z.

• Department of Mathematics Binzhou University 5th Yellow River Road Binzhou, Shandong 256603 P.R. China,

Bibliografia

• [1] Quanxin Zhang, Jurang Yan, Oscillatory behavior of a second order nonlinear differential equation with damping, J. Systems Sci. Math. Sci. 2004, 24(3): 296–302.
• [2] Jurang Yan, Quanxin Zhang, Oscillatory theorems for second order nonlinear differential equations with damping, J. Systems Sci. Math. Sci., 1993, 13(3): 276–278.
• [3] M. Cecchi and M. Marini, Oscillatory and nonoscillatory behavior of a second order functional differential equation, Rocky Mount. J. Math. 22 (1992), 1259–1276.
• [4] Yu.V. Rogovchenko, On oscillation of a second order nonlinear delay differential equation, Funkcial. Ekvac. 43 (2000), 1–29.
• [5] Jurang Yan, Oscillation theorems for second order linear differential equations with damping, Proc. Amer. math. Soc. 98 (1986), 276–282.
• [6] G. S. Ladde, V. Lakshmikantham and B. G. Zhang, Oscillation Theory of Differential Equations with Deviating Arguments, Marcel Dekker, New York, 1987.
• [7] Quanxin Zhang, Weihong Sheng and Fang Qiu, Oscillatory and asymptotic behavior of solutions of second order nonlinear differential equation with perturbation, Impulsive Dynamical Systems and Applications (DCDIS Proceedings), 3 (2005), 77–84.
• [8] Quanxin Zhang, Oscillatory theorems of second order nonlinear differential equation with perturbation, Math. Practice Theory 1988(4): 90–91.