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333 0 |
SM ISO690:2012 CHEBAN, David. On the structure of the levinson center for monotone non-autonomous dynamical systems with a first integral. In: Carpathian Journal of Mathematics, 2022, vol. 38, pp. 67-94. ISSN 1584-2851. DOI: https://doi.org/10.37193/CJM.2022.01.07 |
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Carpathian Journal of Mathematics | |||||||
Volumul 38 / 2022 / ISSN 1584-2851 /ISSNe 1843-4401 | |||||||
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DOI:https://doi.org/10.37193/CJM.2022.01.07 | |||||||
Pag. 67-94 | |||||||
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Rezumat | |||||||
In this paper we give a description of the structure of compact global attractor (Levinson cen-ter) for monotone Bohr/Levitan almost periodic dynamical system x′ = f(t, x) (*) with the strictly monotone first integral. It is shown that Levinson center of equation (*) consists of the Bohr/Levitan almost periodic (respectively, almost automorphic, recurrent or Poisson stable) solutions. We establish the main results in the framework of general non-autonomous (cocycle) dynamical systems. We also give some applications of theses results to different classes of differential/difference equations. |
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Cuvinte-cheie Bohr/Levitan almost periodic and almost automorphic solutions, Dissipative differential equations, global attractors, Monotone non-autonomous dynamical systems |
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