Recent Results on Expansive-Type Evolution and Difference Equations: A Survey-Reference-Cited by-同舟云学术

Recent Results on Expansive-Type Evolution and Difference Equations: A Survey

Published:2023-04-13 Issue:4 Volume:12 Page:373
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Djafari Rouhani Behzad¹^ORCID,Piranfar Mohsen Rahimi²

Affiliation:

1. Department of Mathematical Sciences, University of Texas at El Paso, 500 W. University Ave., El Paso, TX 79968, USA

2. Department of Mathematics, Institute for Advanced Studies in Basic Sciences (IASBS), Zanjan P.O. Box 45195-1159, Iran

Abstract

In this survey, we review some old and new results initiated with the study of expansive mappings. From a variational perspective, we study the convergence analysis of expansive and almost-expansive curves and sequences governed by an evolution equation of the monotone or non-monotone type. Finally, we propose two well-defined algorithms to remedy the shortcomings concerning the ill-posedness of expansive-type evolution systems.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/4/373/pdf

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