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

Josefina Álvarez; Martha Guzmán-Partida

doi:10.2478/tmmp-2024-0006

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

Tatra Mountains Mathematical Publications

Volume 86 (2024): Issue 1 (September 2024)

By: Josefina Álvarez and Martha Guzmán-Partida

Open Access

|Apr 2024

Abstract

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

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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2024-0006 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 87 - 110

Submitted on: Aug 31, 2023

Accepted on: Jan 17, 2024

Published on: Apr 13, 2024

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

vector measure,

Carathéodory function,

Nemytskĭi operator

Related subjects:

Mathematics,

General mathematics

© 2024 Josefina Álvarez, Martha Guzmán-Partida, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 86 (2024): Issue 1 (September 2024)