The Nemytskiĭ Operator and Vector Measure Solutions for Non-Linear Initial Value Problems-Reference-Cited by-同舟云学术

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

Published:2024-04-13 Issue:0 Volume:0 Page:
ISSN:1338-9750
Container-title:Tatra Mountains Mathematical Publications
language:en
Short-container-title:

Author:

Álvarez Josefina¹,Guzmán-Partida Martha²

Affiliation:

1. New Mexico State University , Las Cruces , USA

2. Universidad de Sonora , Hermosillo , México

Abstract

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

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/tmmp-2024-0006

Reference30 articles.

1. ÁLVAREZ, J.—EYDENBERG, M.—MARIANI, M. C.: The Nemytsky operator on vector valued measures (preprint).

2. ÁLVAREZ, J.—GUZMÁN-PARTIDA, M.: Nonlinear initial value problems with measure solutions, Electronic Journal of Mathematical Analysis and Applications, 5 (2017), no. 2, 69–88, http://math-frac.org/Journals/EJMAA/Vol5(2)_July_2017/Vol5(2)_Papers/09_EJMAA_Vol5(2)_July_2017_pp_68-88.pdf.

3. ]ÁLVAREZ, J.—GUZMÁN-PARTIDA, M.: A study of vector measures Lecturas Mate-máticas, 44 (2023), no. 1, 5–61, http://scm.org.co/archivos/revista/Articulos/1361.pdf.

4. AMBROSETTI, A.—PRODI, G.: A Primer of Nonlinear Analysis. Corrected reprint of the 1993 original. Cambridge Studies in Advanced Mathematics, Vol. 34, Cambridge University Press, Cambridge, 1995.

5. APPELL, J.—ZABRĔIKO, P. P.: Nonlinear Superposition Operators. Cambridge University Press 1990, https://doi.org/10.1017/CBO9780511897450.

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