科研之友
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摘要
The aim of this paper is to study the asymptotic stability of positive periodic solution for semilinear evolution equation in an ordered Banach space E: u'(t) Au(t) = f(t, u(t)), t is an element of R = [0, infinity), where A : D(A) subset of E -> E is a closed linear operator, and f:R x E -> E is a continuous mapping which is omega-periodic in t. Under order conditions on the nonlinearity f, the asymptotic stability results of positive omega-periodic mild solution are obtained on R by using operator semigroup theory and a monotone iterative technique.
