Abstract:
We consider a system of Liénard differential equations with impulse effect $$ \frac{dx}{dt}=z-F(x),\quad \frac{dz}{dt}=-g(x),\quad \text{ for}\quad x\ne 0, $$
$$ \Delta x=0,\quad \Delta z=J(z)\quad \text{ for}\quad x= 0. $$ Sufficient conditions for the existence of a periodic solution of this system are obtained.
Keywords:systems of differential equations with impulse effect, Liénard system, limit cycle.