scientific article; zbMATH DE number 4120864

zbMath0684.47034MaRDI QIDQ4734361

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Publication date: 1989

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zbMATH Keywords

Banach latticediscrete dynamical systemsstability theoryorder continuous normasymptotic behaviour of the solutions of a nonlinear parabolic equation with periodic coefficientsorder-connected sublatticesemiorbitstrongly order preserving mapping

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Stability in context of PDEs (35B35) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Stability theory for ordinary differential equations (34D99) Dynamical systems and ergodic theory (37-XX)

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Asymptotic behavior of discrete-time semigroups of sublinear, strongly increasing mappings with applications to biology ⋮ Convergence to cycles as a typical asymptotic behavior in smooth strongly monotone discrete-time dynamical systems ⋮ Convergence to equilibrium on invariant \(d\)-hypersurfaces for strongly increasing discrete-time semigroups

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