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MR1027972 35B10 (35A30 35B35 35K20 47B60 47H20)
Alikakos, Nicholas D.; Hess, Peter; Matano, Hiroshi Discrete order preserving semigroups and stability for periodic parabolic differential equations. J. Differential Equations 82 (1989), no. 2, 322–341.
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