I. U. Bronshtein’s conjecture for monotone nonautonomous dynamical systems
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CHEBAN, David. I. U. Bronshtein’s conjecture for monotone nonautonomous dynamical systems. In: Discrete and Continuous Dynamical Systems - Series B, 2019, nr. 3(24), pp. 1095-1113. ISSN 1531-3492. DOI: https://doi.org/10.3934/dcdsb.2019008
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Discrete and Continuous Dynamical Systems - Series B
Numărul 3(24) / 2019 / ISSN 1531-3492 /ISSNe 1553-524X

I. U. Bronshtein’s conjecture for monotone nonautonomous dynamical systems

DOI: https://doi.org/10.3934/dcdsb.2019008

Pag. 1095-1113

Cheban David
 
Moldova State University
 
Disponibil în IBN: 28 februarie 2019


Rezumat

In this paper we study the problem of Levitan/Bohr almost periodicity of solutions for dissipative differential equations (Bronshtein’s conjecture for Bohr almost periodic case). We give a positive answer to this conjecture for monotone Levitan/Bohr almost periodic systems of differential/difference equations.