Abstract
Consider the system of ordinary differential equations u(t)+ GH(u(t))=p(t), where p:R→R is a continuous function with period 2π and G:R n →R has a continuous second partial derivative. It is important to determine sufficient conditions for the existence of a unique 2π-periodic solution. In this paper, the above system is related to an initial value problem in terms of which a new set of sufficient conditions can be given
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