Almost Periodic and Almost Automorphic Solutions of Monotone Differential Equations with a Strict Monotone First Integral
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Algebra (410)
Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis (243)
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CHEBAN, David. Almost Periodic and Almost Automorphic Solutions of Monotone Differential Equations with a Strict Monotone First Integral. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2020, nr. 3(94), pp. 39-74. ISSN 1024-7696.
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Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
Numărul 3(94) / 2020 / ISSN 1024-7696 /ISSNe 2587-4322

Almost Periodic and Almost Automorphic Solutions of Monotone Differential Equations with a Strict Monotone First Integral

CZU: 512.54+517.9
MSC 2010: 34C12, 34C27, 34D05, 37B20, 37B55, 37B65.

Pag. 39-74

Cheban David
 
Moldova State University
 
 
Disponibil în IBN: 24 august 2021


Rezumat

The paper is dedicated to the study of problem of Poisson stability (in particular periodicity, quasi-periodicity, Bohr almost periodicity, almost automorphy, Levitan almost periodicity, pseudo-periodicity, almost recurrence in the sense of Bebutov, recurrence in the sense of Birkhoff, pseudo-recurrence, Poisson stability) and asymptotical Poisson stability of motions of monotone non-autonomous differential equations which admit a strict monotone first integral. This problem is solved in the framework of general non-autonomous dynamical systems.

Cuvinte-cheie
Bohr/, Levitan, Almost, Periodic and, Almost, Automorphic, Solutions, Monotone, Nonautonomous, Dynamical, Systems, first, Integral