Positive periodic solutions of superlinear systems of integral equations depending on parameters

Abstract

A class of superlinear system of integral equations depending on multi parameters is considered. It is shown that there are three mutually exclusive and exhaustive subsets $\Theta_{1},\Gamma $ and $\Theta_{2}$ of the parameter space such that there exist at least two positive periodic solutions associated with elements in $\Theta_{1}$, at least one positive periodic solution associated with $\Gamma $ and none associated with $\Theta_{2}$.