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- Title
On a class of dichotomous evolution operators with strongly continuous families of projections.
- Authors
Babuţia, Mihai-Gabriel
- Abstract
The aim of this paper is to present a concept of nonuniform exponential dichotomy through a certain class of strongly continuous evolution operators defined with the aid of a particular family of projections acting on the state space. This class easily emphasizes the fact that, in the case of uniform exponential dichotomy, the uniform exponential growth is essential in order to prove the boundedness of the dichotomic family of projections. The main result of the paper is the extension of the boundedness result in the nonuniform setting.
- Subjects
NUMERICAL analysis; MATHEMATICAL analysis; DIFFERENTIAL operators; NONLINEAR operators; NONEXPANSIVE mappings
- Publication
Studia Universitatis Babeş-Bolyai, Mathematica, 2014, Vol 59, Issue 3, p303
- ISSN
0252-1938
- Publication type
Article