Integration of Differential Equations by C ∞ -Structures

Antonio Jesús Pan-Collantes (), Concepción Muriel and Adrián Ruiz
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Antonio Jesús Pan-Collantes: Departamento de Matemáticas, IES San Juan de Dios, 11170 Medina Sidonia, Cádiz, Spain
Concepción Muriel: Departamento de Matemáticas, Universidad de Cádiz, 11510 Puerto Real, Cádiz, Spain
Adrián Ruiz: Departamento de Matemáticas, Universidad de Cádiz, 11510 Puerto Real, Cádiz, Spain

Mathematics, 2023, vol. 11, issue 18, 1-23

Abstract: Several integrability problems of differential equations are addressed using the concept of a C ∞ -structure, a recent generalization of the notion of solvable structure. Specifically, the integration procedure associated with C ∞ -structures is used to integrate a Lotka–Volterra model and several differential equations that lack sufficient Lie point symmetries and cannot be solved using conventional methods.

Keywords: symmetry of a distribution; solvable structure; C ? -symmetry of a distribution; C ? -structure; integrating factor; differential equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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