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

<p>We define and study a Banach-space-valued Nemytskiĭ operator and we find vector measure solutions for associated non-linear initial value problems.</p>
</abstract>

We define and study a Banach-space-valued Nemytskiĭ operator and we find vector measure solutions for associated non-linear initial value problems.

The Nemytskiĭ Operator and Vector Measure Solutions for Non-Linear Initial Value Problems

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

The Nemytskiĭ Operator and Vector Measure Solutions for Non-Linear Initial Value Problems

Published Online: Apr 13, 2024

Page range: -

Received: Aug 31, 2023

Accepted: Jan 17, 2024

DOI: https://doi.org/10.2478/tmmp-2024-0006

Keywords
vector measure, Carathéodory function, Nemytskĭi operator

© 2024 Josefina Álvarez et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

The Nemytskiĭ Operator and Vector Measure Solutions for Non-Linear Initial Value Problems

Published Online: Apr 13, 2024

Page range: -

Received: Aug 31, 2023

Accepted: Jan 17, 2024

DOI: https://doi.org/10.2478/tmmp-2024-0006

Keywordsvector measure, Carathéodory function, Nemytskĭi operator

© 2024 Josefina Álvarez et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
vector measure, Carathéodory function, Nemytskĭi operator