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

Abstrakt

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 $\Theta _{2}$.