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

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

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 soluti...

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Bibliographic Details
Main Authors: Jurancy Ereú, Luz E. Marchan, Liliana Pérez, Henry Rojas
Format: Article
Language:English
Published: AIMS Press 2023-07-01
Series:AIMS Mathematics
Subjects:
superposition operator
integral equation
bounded second $ \kappa $-variation
hammerstein
hammerstein-volterra
volterra existence and uniqueness
Online Access:https://www.aimspress.com/article/doi/10.3934/math.20231115?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.20231115?viewType=HTML

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