Conţinutul numărului revistei |
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SM ISO690:2012 CHEBAN, David. Levitan/Bohr almost periodic and almost automorphic solutions of scalar differential equations. In: Dynamical Systems, 2018, nr. 4(33), pp. 667-690. ISSN 1468-9367. DOI: https://doi.org/10.1080/14689367.2018.1433817 |
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Dynamical Systems | |||||
Numărul 4(33) / 2018 / ISSN 1468-9367 | |||||
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DOI: https://doi.org/10.1080/14689367.2018.1433817 | |||||
Pag. 667-690 | |||||
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Rezumat | |||||
The aim of this paper is to prove the existence of Levitan/Bohr almost periodic, almost automorphic, recurrent and Poisson stable solutions of the scalar differential equations. The existence of at least one quasi-periodic (respectively, Bohr almost periodic, almost automorphic, recurrent, pseudo recurrent, Levitan almost periodic, almost recurrent, Poisson stable) solution of sclalar differential equations is proved under the condition that it admits at least one bounded solution on the positive semi-axis which is uniformly Lyapunov stable. |
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Cuvinte-cheie almost automorphic solutions, Bohr/Levitan almost periodic solution, cocycle, non-autonomous dynamical systems, scalar differential equations, uniform stability |
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