On Monotone Trajectories
Copyright policy )On Monotone Trajectories
In this paper C 1 {C^1} strongly monotone dynamical systems are investigated. It is proved that the set of points with precompact orbits which converge to a not unstable equilibrium but whose trajectories are not eventually strongly monotone is nowhere dense. This improves on and extends a recent result by P. Poláčik [13].
semigroups of nonlinear operators, Groups and semigroups of nonlinear operators, Second-order parabolic equations, Asymptotic behavior of solutions to PDEs, nonliner evolution equations, monotone trajectories, Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces, Semigroups of nonlinear operators, Stability theory for smooth dynamical systems, Asymptotic properties of solutions to ordinary differential equations
semigroups of nonlinear operators, Groups and semigroups of nonlinear operators, Second-order parabolic equations, Asymptotic behavior of solutions to PDEs, nonliner evolution equations, monotone trajectories, Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces, Semigroups of nonlinear operators, Stability theory for smooth dynamical systems, Asymptotic properties of solutions to ordinary differential equations
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