<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

Publié en ligne: 24 déc. 2022

Pages: 56 - 66

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

Mots clés
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

Publié en ligne: 24 déc. 2022

Pages: 56 - 66

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

Mots clésevolution 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.

Mots clés
evolution operators, growth concepts, majorization criteria