NONUNIFORM POLYNOMIAL DICHOTOMY WITH LYAPUNOV TYPE NORMS


Rovana Boruga (Toma), Mihail Megan 

Abstract: The paper considers a general concept of polynomial dichotomy which includes as particular cases some well-known dichotomy concepts. The main objective is to obtain some characterizations of the nonuniform polynomial dichotomy behavior with respect to a family of norms compatible with the projection families.
MSC: 34D05, 34D09
keywords: Nonuniform polynomial dichotomy, evolution operators, Lyapunov type norms.

More … 

DOI   10.56082/annalsarscimath.2020.1-2.329

rovanaboruga@gmail.com, Department of Mathematics, Faculty of Mathematics and Computer Science, West University of Timișoara, V. Pârvan Blv. No. 4, 300223 Timișoara, Romania

mihail.megan@e-uvt.ro, Department of Mathematics, Academy of Romanian Scientists Independenței 54, 050094 Bucharest, Romania


PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its ApplicationVolume 12 no 1-2, 2020