In this paper, we study the existence of nonnegative solutions of the nonlinear system of n equations x =λAF(x), where the parameter A > 0, A is an n ×.n real matrix A, F(x) maps R+n to Rn with AF(x) ≥ 0 for all X e R″. Our results may allow negative elements in A and significantly extend and improve those in the literature. Sharp bounds for the parameter A are also given.
|Original language||English (US)|
|Number of pages||10|
|Journal||Dynamic Systems and Applications|
|State||Published - Jun 1 2014|
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