Markus–Yamabe conjecture

The Markus–Yamabe conjecture is a conjecture in the field of dynamical systems, specifically concerning the long-term behavior of certain classes of systems defined by differential equations. The conjecture is named after mathematicians Leo Markus and Hidetaka Yamabe, who formulated it in the mid-20th century. The conjecture addresses the stability and asymptotic behavior of solutions to certain nonlinear systems.