Anti-periodic solutions of Liénard equations with state dependent impulses
Copyright policy )Anti-periodic solutions of Liénard equations with state dependent impulses
The authors study the existence of anti-periodic solutions of Liénard equations with state dependent impulses. Assuming some a priori bounds, the existence of a unique anti-periodic solution is established. Moreover, they construct a sequence of iterates converging point-wise to the solution and provide a bound for the rate of convergence. Results are applied to the equations of Josephson and van der Pol.
- Université de Sherbrooke Canada
Liénard equations, anti-periodic solutions, generalized functions, Boundary value problems with impulses for ordinary differential equations, state dependent impulses, Periodic solutions to ordinary differential equations, Josephson's equation, Ordinary differential equations with impulses, van der Pol's equation
Liénard equations, anti-periodic solutions, generalized functions, Boundary value problems with impulses for ordinary differential equations, state dependent impulses, Periodic solutions to ordinary differential equations, Josephson's equation, Ordinary differential equations with impulses, van der Pol's equation
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