Convergence of monotone dynamical systems with minimal equilibria
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- by Jian Hong Wu PDF
- Proc. Amer. Math. Soc. 106 (1989), 907-911 Request permission
Abstract:
We show that each precompact orbit of strongly monotone dynamical systems on a Banach lattice $X$ is convergent if there is a continuous map $e:X \to E$, the set of equilibria, such that $e(x)$ is the maximal element in $E$ with $e(x) \leq x$. This result can be applied to study the convergence of a class of functional differential equations and partial differential equations.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 106 (1989), 907-911
- MSC: Primary 58F32; Secondary 34K25, 58D25, 92A09, 92A15
- DOI: https://doi.org/10.1090/S0002-9939-1989-1004632-7
- MathSciNet review: 1004632