Some results on the space of bounded second κ-variation functions-Reference-Cited by-同舟云学术

Some results on the space of bounded second κ-variation functions

Published:2023 Issue:9 Volume:8 Page:21872-21892
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Ereú Jurancy¹,Marchan Luz E.²,Pérez Liliana²,Rojas Henry¹

Affiliation:

1. Departamento de Matemáticas, Decanato de Ciencias y Tecnología, Universidad Centroccidental Lisandro Alvarado, Barquisimeto, Estado Lara, Venezuela

2. Escuela Superior Politécnica del Litoral, ESPOL, Facultad de Ciencias Naturales y Matemáticas, Campus Gustavo Galindo Km 30.5 Vía Perimetral, P.O. Box 09-01-5863, Guayaquil, Ecuador

Abstract

<abstract>In this paper, we prove that if a globally Lipschitz non-autonomous superposition operator maps the space of functions of bounded second $ \kappa $-variation into itself then its generator function satisfies a Matkowski condition. We also provide conditions for the existence and uniqueness of solutions of the Hammerstein and Volterra equations in this space.</abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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