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

Shugui Kang, Sui Sun Cheng

DOI: http://dx.doi.org/10.12775/TMNA.2006.015

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 $\Theta
_{2}$.

Keywords


Positive periodic solution; coupled differential equations; monotone method; topological degree

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