A generalized bernoulli differential equation

Carmenate, Hector; Bosch, Paul; Nápoles, Juan; Sigarreta, José

Publication:
A generalized bernoulli differential equation

dc.contributor.author	Carmenate, Hector
dc.contributor.author	Bosch, Paul
dc.contributor.author	Nápoles, Juan
dc.contributor.author	Sigarreta, José
dc.date.accessioned	2026-10-07T16:15:12Z
dc.date.available	2026-10-07T16:15:12Z
dc.date.issued	2025
dc.description.abstract	In this paper we study a generalized form of the Bernoulli Differential Equation, employing a generalized conformable derivative. Initially, we establish a generalized variant of Gronwall’s inequality, essential for assessing the stability of generalized differential equation systems, and offer insights into the qualitative behavior of the trivial solution of the proposed equation. Subsequently, we present and prove the main results concerning the solution of the generalized Bernoulli Differential Equation, complemented by illustrative examples that underscore the advantages of this generalized derivative approach. Furthermore, we introduce a finite difference method as an alternative technique to approximate the solution of the generalized Bernoulli equation and demonstrate its validity through practical examples.
dc.description.version	Versión Publicada
dc.identifier.citation	Carmenate, H., Bosch, P., Nápoles, J. E., & Sigarreta, J. M. (2025). A generalized Bernoulli differential equation. Revista de la Unión Matemática Argentina, 555-575. https://doi.org/10.33044/revuma.4560
dc.identifier.doi	https://doi.org/10.33044/revuma.4560
dc.identifier.uri	https://hdl.handle.net/11447/11253
dc.language.iso	en
dc.subject	Generalized conformable derivative
dc.subject	Boundedness of solutions
dc.subject	Gronwall inequality
dc.title	A generalized bernoulli differential equation
dc.type	Article
dcterms.accessRights	Acceso Abierto
dcterms.source	Revista de la Unión Matemática Argentina
dspace.entity.type	Publication