In 1905 Bendixson, who had also been a student of Mittag-Leffler, resigned his professorship at KTH, (in Swedish Kungliga Tekniska Högskolan; in English the Royal Institute of Technology in Stockholm), when he accepted a chair at Stockholm University.
Sa 1905 Bendixson, na nagkaroon din ay isang mag-aaral ng Mittag-Leffler, nakahanda ang kanyang pagkapropesor at KTH, (sa Swedish Kungliga Tekniska Högskolan; sa Ingles sa Unibersidad ng Pilipinas sa Stockholm), kapag siya na tinanggap ng isang upuan sa Stockholm University.