Quasi-sums in several variables

[摘要] In this note we introduce the notions of quasi-sums and of the local quasi-sums in several variables, respectively. We prove that the local quasi-sums are also quasi-sums. We show how this result can be applied to find the continuous solutions of a particular aggregation equation that are strictly monotonic in each variable. Finally we give a proof of a known result on the aggregation equation shorter than that is given in the literature.

[学科分类] 数学（综合）

[关键词] equation of aggregation