Markus-Sell’s theorem for asymptotically almost periodic systems
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CHEBAN, David, MAMMANA, Cristiana. Markus-Sell’s theorem for asymptotically almost periodic systems. In: Mathematical Research Summaries, Ed. 1, 1 ianuarie 2017, New York. New York, SUA : Nova Science Publishers, Inc., 2017, Vol. 2, pp. 1-45.
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Mathematical Research Summaries
Vol. 2, 2017
Sesiunea "Mathematical Research Summaries"
1, New York, Statele Unite ale Americii, 1 ianuarie 2017

Markus-Sell’s theorem for asymptotically almost periodic systems


Pag. 1-45

Cheban David1, Mammana Cristiana2
 
1 Moldova State University,
2 Università degli Studi di Macerata
 
 
Disponibil în IBN: 2 martie 2022


Rezumat

This chapter is dedicated to the study of asymptotic stability of asymptotically almost periodic systems. We formulate and prove the analog of Markus-Sell’s theorem for asymptotically almost periodic systems (both finite and infinite dimensional cases). We study this problem in the framework of general non-autonomous dynamical systems. The obtained general results we apply to different classes of non-autonomous evolution equations: Ordinary Differential Equations, Difference Equations, Functional Differential Equations and Semi-Linear Parabolic Equations.

Cuvinte-cheie
asymptotic stability, difference equations, dynamical systems