We still haven't proven whether it's possible to guarantee a solution exists for every well-posed system of nonlinear equations, even without finding it explicitly.
open
Mathematics & Logic
While many specific systems have proven solutions, a complete general guarantee across every well-posed nonlinear system remains one of mathematics' harder open questions. This affects fields ranging from physics to engineering that rely on such systems.
Team Humans Club. (2026). Problem WS01301: We still haven't proven whether it's possible to guarantee a solution exists for every well-posed system of nonlinear equations, even without finding it explicitly.. World Solve. Retrieved 20 Jul 2026, from https://worldsolve.org/index.php?id=1301