文章基本信息

标题：Asymptotic stability of positive periodic solution for semilinear evolution equations
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作者：He Yang ; Qiang Li
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2014
卷号：2014
期号：1
页码：197
DOI：10.1186/1687-1847-2014-197
语种：English
出版社：Hindawi Publishing Corporation
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 ) + A u ( t ) = f ( t , u ( t ) ) , t ∈ R + = [ 0 , + ∞ ) , where A : D ( A ) ⊂ E → E is a closed linear operator, and f : R + × E → E is a continuous mapping which is ω-periodic in t. Under order conditions on the nonlinearity f, the asymptotic stability results of positive ω-periodic mild solution are obtained on R + by using operator semigroup theory and a monotone iterative technique. MSC:35B10, 35B40.
关键词：positive ω -periodic mild solution ; asymptotic stability ; monotone iterative technique