On global stability of third-order nonlinear differential equations

Nonlinear Analysis, Theory, Methods and Applications

Volumn 42, Issue 4, 2000, Pages 651-661

  Qian, Chuanxi ^a  

^a MISSISSIPPI STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; DIFFERENTIAL EQUATIONS; THEOREM PROVING;

GLOBAL STABILITY;

NONLINEAR EQUATIONS;

EID: 0034299685     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(99)00120-0     Document Type: Article

References (9)

1. E.A. Barbashin, Lyapunov Functions, Izdat. 'Nauka', Moscow, 1970.
2. J.O.C. Ezeilo, On the stability of solutions of certain differential equations of the third order, Quart. J. Math. Oxford Ser. 11 (1960) 64-69.
3. M. Goldwyn, S. Narendra, Stability of Certain Nonlinear Differential equations using the second method of Lyapunov, Craft Lab. Harvard Univ., Cambridge, MA, 1963, pp. 1-14.
4. N.N. Krasovskii, Stability of Motion, Stanford University Press, Stanford, CA, 1963.
5. A.I. Ogurtsov, On the stability of the solutions of some nonlinear differential equations of the third and fourth order, Izv. Vyssh, Uchebn. Zaved. Matematika 10 (1959) 200-209.
6. Y. Qin, M. Wang, L. Wang, Theory and Applications of Stability of Motion, Academic Press, Beijing, 1981.
7. R. Reissig, G. Sansone, R. Conti, Nonlinear Differential Equations of Higher Order, Noordhoff Inter. Pub., Leyden, 1974.
8. S.N. Shimanov, On the stability of the solution of a nonlinear equation of the third order, Prikl. Mat. Mekh. 17 (1953) 369-372.
9. L. Wang, M. Wang, Analysis of construction of Lyapunov functions of third-order nonlinear systems, Acta Math. Appl. Sinica 6 (1983) 309-323.