<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>The aim of the present paper is to emphasize some growth concepts for the dichotomic behavior of evolution operators in Banach spaces. In fact, we approach the exponential growth, the polynomial growth and the <italic>h</italic>-growthfor both uniform and nonuniform cases. Connections between concepts are established. Majorization criteria for the uniform behaviors are given.</p>
</abstract>

The aim of the present paper is to emphasize some growth concepts for the dichotomic behavior of evolution operators in Banach spaces. In fact, we approach the exponential growth, the polynomial growth and the h-growthfor both uniform and nonuniform cases. Connections between concepts are established. Majorization criteria for the uniform behaviors are given.

On some growth concepts for dichotomic behaviors of evolution operators

Annals of West University of Timisoara - Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"On some growth concepts for dichotomic behaviors of evolution operators"}

The aim of the present paper is to emphasize some growth concepts for the dichotomic behavior of evolution operators in Banach spaces. In fact, we approach the...

On some growth concepts for dichotomic behaviors of evolution operators

Published Online: Dec 24, 2022

Page range: 56 - 66

DOI: https://doi.org/10.2478/awutm-2022-0017

Keywords
evolution operators, growth concepts, majorization criteria

© 2022 Rovana Boruga Toma, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

On some growth concepts for dichotomic behaviors of evolution operators

Published Online: Dec 24, 2022

Page range: 56 - 66

DOI: https://doi.org/10.2478/awutm-2022-0017

Keywordsevolution operators, growth concepts, majorization criteria

© 2022 Rovana Boruga Toma, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
evolution operators, growth concepts, majorization criteria