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math.AP2026

Functional Ordinary Differential Equations and the Design of Dichromatic Lenses

Mohammad Tarek Al Masri, Stéphane Najjar, Ahmad Sabra +2

This paper establishes an existence and uniqueness theorem for a class of functional ordinary differential equations under assumptions weaker than those found in the literature. We…

math.AP2026

Generalized Snell's law and Maxwell equations

Cristian E. Gutiérrez, Ahmad Sabra

This paper examines the Maxwell system of electrodynamics within the framework of distributions. A primary objective is to establish boundary conditions for fields at interfaces wh…