Lipschitzian solutions to inhomogeneous linear iterative equations
Karol Baron, Janusz Morawiec

TL;DR
This paper investigates the existence, uniqueness, and stability of Lipschitz solutions to a class of inhomogeneous linear iterative equations involving measure integration, expanding understanding of their mathematical properties.
Contribution
It provides new conditions for the existence and uniqueness of Lipschitz solutions to these integral equations, and analyzes their continuous dependence on parameters.
Findings
Established criteria for solution existence and uniqueness.
Proved continuous dependence of solutions on data.
Extended the theory of linear iterative equations with measure integration.
Abstract
We study the problems of the existence, uniqueness and continuous dependence of Lipschitzian solutions of equations of the form where is a measure on a -algebra of subsets of a set .
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsOptimization and Variational Analysis · Functional Equations Stability Results · Nonlinear Differential Equations Analysis
