On the structure of the solution set of a generalized Euler–Lambert equation
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.05.061
Abstract: Abstract The transcendental equation x e x = z and its solutions, described by the Lambert W function, often occur in physics and mathematics. In the last decades it turned out that the study of… read more here.
Keywords: solution set; structure solution; physics; set generalized ... See more keywords
A Convenient Notion of Compact Set for Generalized Functions
Sign Up to like & getrecommendations! Published in 2017 at "Proceedings of the Edinburgh Mathematical Society"
DOI: 10.1017/s0013091516000559
Abstract: We introduce the notion of functionally compact sets into the theory of nonlinear generalized functions in the sense of Colombeau. The motivation behind our construction is to transfer, as far as possible, properties enjoyed by… read more here.
Keywords: convenient notion; notion compact; compact set; notion ... See more keywords