On the structure of the Levinson center for monotone dissipative non-autonomous dynamical systems
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CHEBAN, David. On the structure of the Levinson center for monotone dissipative non-autonomous dynamical systems. In: Advances in Mathematics Research, 16 august 2021, New York. New York, Statele Unite: Nova Science Publishers, Inc., 2021, Vol. 29, pp. 173-218. ISBN 978-168507035-9, 978-153619759-4.
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Advances in Mathematics Research
Vol. 29, 2021
Sesiunea "Advances in Mathematics Research"
New York, Statele Unite ale Americii, 16 august 2021

On the structure of the Levinson center for monotone dissipative non-autonomous dynamical systems


Pag. 173-218

Cheban David
 
Moldova State University
 
 
Disponibil în IBN: 7 martie 2022


Rezumat

In this chapter we give a description of the structure of compact global attractor (Levinson center) for monotone Bohr/Levitan almost periodic dynamical systems. It is shown that their Levinson center contains at least two Bohr/Levitan almost periodic motions. We also give a numerous applications theses results to different classes of evolution equations (Ordinary Differential Equations, Difference Equations, Functional Differential Equations and some class of Partial Differential Equations of Parabolic type). 

Cuvinte-cheie
Bohr/Levitan almost periodic and almost automorphic solutions, Dissipative differential equations, global attractors, monotone nonautonomous dynamical systems