dc.contributor.author Galdames Bravo, Orlando (1) dc.date 2015-07 dc.date.accessioned 2017-10-08T07:15:05Z dc.date.available 2017-10-08T07:15:05Z dc.identifier.issn 1660-5454 dc.identifier.uri https://reunir.unir.net/handle/123456789/5679 dc.description.abstract In the present paper we give some necessary conditions that satisfy the solutions of an infinite system of ordinary differential equations. We investigate the behavior of the solutions of a general system of equations, regarding the norm of a Banach function space based on a vector measure. To this aim we construct a vector measure by an standard procedure. Assuming that the solution of each individual equation of the system belongs to a Banach function space based on scalar measures we deduce, with natural conditions, that a solution of such system belongs to a Banach function space based on a vector measure. We also give an example of a system of non-linear Bernoulli equations and show the relation with an equation involving the integral operator. es_ES dc.language.iso eng es_ES dc.publisher Mediterranean Journal of Mathematics es_ES dc.relation.ispartofseries ;vol. 12, nº 3 dc.relation.uri https://link.springer.com/article/10.1007%2Fs00009-014-0445-7 es_ES dc.rights restrictedAccess es_ES dc.subject banach function space es_ES dc.subject vector measure es_ES dc.subject system of differential equations es_ES dc.subject integral equation es_ES dc.subject JCR es_ES dc.subject Scopus es_ES dc.title On the Norm with Respect to Vector Measures of the Solution of an Infinite System of Ordinary Differential Equations es_ES dc.type Articulo Revista Indexada es_ES reunir.tag ~ARI es_ES dc.identifier.doi http://dx.doi.org/10.1007/s00009-014-0445-7
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