Asymptotic instability of nonlinear differential equations

Electronic Journal of Differential Equations

Volumn 1997, Issue , 1997, Pages 1-7

  Avis, Rafael ^a   Naulin, Raúl ^a  

^a UNIVERSIDAD DE ORIENTE   (Venezuela)

Author keywords

H stability; Liapunov instability

Indexed keywords

EID: 0242672553     PISSN: 10726691     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (8)

1. Bownds J. M., Stability implications on the asymptotic between of second order differential equations, Proc. Amer. Math. Soc., 39, 169-172 (1973).
2. Chiou K. L., Stability implications on asymptotic behavior of non linear systems, Internat. J. Math and Math Sci., Vo. 5, No 1, 105-112 (1982).
3. Coddington E. A., and Levinson N., Theory of Ordinary Differential Equation, New York, McGraw-Hill (1955).
4. Coppel W.A., On the stability of ordinary differential equations, J. London Math. Soc., 39, 255-260 (1964).
5. Coppel W. A., Stability and Asymptotic Behavior of Differential Equations, D. C. Heath and Company, Boston (1965).
6. Hatvani L., Pintér L., On perturbation of unstable second order linear differential equations, Proc. Amer. Soc., 61, 36-38 (1976).
7. Naulin R., Instability of nonautonomous differential systems, to appear in Differential Equations and Dynamical Systems (1997).
8. Pinto M., Asymptotic integration of a system resulting from the perturbation of an h-system, J. Math. Anal. and App., 131, 194-216 (1988).