Existence results for some classes of differential systems with "maxima"
Elisabetta Mangino, Eduardo Pascali
TL;DR
This paper investigates the local existence of solutions for a new class of differential systems involving maxima, expanding understanding of their initial boundary value problems.
Contribution
It introduces and analyzes a novel type of differential systems with maxima, providing foundational existence results.
Findings
Established local existence for the new differential systems
Characterized boundary value problem solutions
Extended theoretical understanding of systems with maxima
Abstract
Local existence properties of initial boundary value problems associated with a new type of systems of differential equations with "maxima" are investigated.
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Taxonomy
TopicsMathematical Control Systems and Analysis · Differential Equations and Numerical Methods · Advanced Mathematical Modeling in Engineering