Periodic Solutions Of Van Der Pol Equation With A Small Parameter Perturbation

The periodic solutions of Van der Pol equation with a small parameter perturbation are discussed in this paper,whose existence ,stability and period relationship with those of the limit cycles of the unperturbed equation are presented specifically. This paper mainly makes use of the Banach Contrative mapping theorem and relevant results of Van der Pol equation,by introducing several operators in the periodic function space.It thus depicts the similar properties of nonlinear differential equations with nonlinear perturbations to some extent.