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Keywords:
asymptotic stability; Lyapunov function; nonautonomous differential equations of fifth order
asymptotic stability; Lyapunov function; nonautonomous differential equations of fifth order
Summary:
Our aim in this paper is to present sufficient conditions under which all solutions of (1.1) tend to zero as $t \rightarrow \infty $.
References:
[1] Abou-El-Ela, A. M. A. and Sadek, A. I.: On complete stability of the solutions of non-linear differential equations of the fifth-order. Proc. of Assiut First Intern. Conf. Part V (1990), 14–25.
[2] Abou-El-Ela, A. M. A. and Sadek, A. I.: On the asymptotic behaviour of solutions of certain non-autonomous differential equations. J. Math. Anal. Appl. 237 (1999), 360–375. MR 1708179
[3] Chukwu, E. N.: On the boundedness and stability of some differential equations of the fifth-order. Siam J. Math. Anal. 7(2) (1976), 176–194. MR 0425274
[4] Hara, T.: On the stability of solutions of certain third order ordinary differential equation. Proc. Japan Acad. 47 (1971), 897–902. MR 0313598
[5] Swich, K. E.: On the boundedness and the stability of solutions of some differential equations of the third order. J. London Math. Soc. 44 (1969), 347–359. MR 0236482
[6] Tiryaki, A. and Tunc, C.: On the boundedness and the stability properties for the solutions of certain fifth order differential equations. Hacet. Bull. Nat. Sci. Eng. Ser. B, 25 (1996), 53–68. MR 1465133
[7] Tunc, C.: On the boundedness and the stability results for the solutions of certain fifth order differential equations. Istambul. Univ. Fen Fak. Mat. Derg. 54 (1997), 151–160. MR 1608171
[8] Yamamoto, M.: On the stability of solutions of some non-autonomous differential equation of the third order. Proc. Japan Acad. 47 (1971), 909–914. MR 0313603
[9] Yoshizawa, T.: Stability theorem by Liapunov second method. The Mathematical Society of Japan, Tokyo (1966). MR 0208086
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