2020/06/30 by Ronald Orozco López, López, Ronald Orozco
Mathematics · #05A40 #13G05 #39A05 #Algebraic and Geometric Analysis #Classical Analysis and ODEs (math.CA) #Delta #Dynamical Systems (math.DS) #FOS: Mathematics #Geology #Mathematical Dynamics and Fractals #Mathematics #Physics #Pure mathematics #Type (biology) #advanced mathematical theories #math.CA #math.DS #msc:05A40 #msc:13G05 #msc:39A05
paper · pdf · doi:10.48550/arxiv.2006.16973
published in arXiv (Cornell University) (Cornell University) · In Spanish, 19 pages
arxiv created 2020/06/30 · openalex publication_date 2020/06/30 · arxiv updated 2020/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, autonomous differential equations type delta of order one on integral domains are defined. For this we will use the autonomous ring defined on the Hurwitz expansion ring of exponential generating functions with coefficients in an integral domain. We will also use delta operators, which behave like derivatives when acting on polynomials, along with Umbral calculus. As a particular example of a delta operator we have the forward difference operator that defines the difference equations. Then the delta-type equations generalize to the ordinary equations and to the difference equations.