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New generic quasi-convergence principles with applications
Authors:Taishan Yi  Xingfu Zou
Institution:a College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, PR China
b Department of Applied Mathematics, University of Western Ontario, London, Ontario, Canada, N6A 5B7
Abstract:In this paper, essentially strongly order-preserving and conditionally set-condensing semiflows are considered. Obtained is a new type of generic quasi-convergence principles implying the existence of an open and dense set of stable quasi-convergent points when the state space is order bounded. The generic quasi-convergence principles are then applied to essentially cooperative and irreducible systems in the forms of ordinary differential equations and delay differential equations, giving some results of theoretical and practical significance.
Keywords:Conditionally set-condensing  Essentially cooperative-irreducible system  Essentially strongly order-preserving semiflow  Quasi-convergence
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