Abstract
The method of lower and upper solutions was used to investigate the stability of periodic oscillations. A periodic problem was considered for the purpose and the lower and upper solution functions were defined. The problem was reduced to study the stability of the equilibrium for a differential equation, having new terms corresponding to the third degree of a specific function.
Original language | English |
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Pages (from-to) | 1207-1222 |
Number of pages | 16 |
Journal | Nonlinear Analysis, Theory, Methods and Applications |
Volume | 51 |
Issue number | 7 |
DOIs | |
State | Published - Dec 2002 |
Externally published | Yes |
Keywords
- Lower and upper solutions
- Lyapunov stability
- Periodic solutions
- Twist condition