Some stability and boundedness criteria for a class of Volterra integro-differential systems

Electronic Journal of Qualitative Theory of Differential Equations

Volumn , Issue , 2002, Pages 1-20

  Vanualailai, Jito ^a  

^a UNIVERSITY OF THE SOUTH PACIFIC   (Fiji)

Author keywords

Lyapunov Stability; Volterra Equations

Indexed keywords

EID: 3042669430     PISSN: 14173875     EISSN: None     Source Type: Journal    
DOI: 10.14232/ejqtde.2002.1.12     Document Type: Article

References (5)

1. T. A. Burton, "Volterra Integral and Differential Equations," Academic Press, New York, 1983.
2. T. A. Burton, "Stability and Periodic Solutions of Ordinary and Functional Differential Equations," Academic Press, New York, 1985.
3. T. A. Burton, Construction of Liapunov functionals for Volterra equations, Journal of Mathematical Analysis and Applications, 85 (1982), 90-105.
4. H. Miyagi, and K. Yamashita, Construction of non-Luré-type Lyapunov function for multimachine power systems, IEE Proceedings, 134 (1988), 805-812.
5. H. Miyagi, T. Ohshiro and K. Yamashita, Generalized Lyapunov function for Liénard-type non-linear systems, International Journal of Control, 48 (1987), 95-100.