New generic quasi-convergence principles with applications |
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Authors: | Taishan Yi Xingfu Zou |
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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 |
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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. |
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Keywords: | Conditionally set-condensing Essentially cooperative-irreducible system Essentially strongly order-preserving semiflow Quasi-convergence |
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