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
Global / Unspecified, Global
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.
Citation ID: WS01301
Title: 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.
URL: https://worldsolve.org/index.php?api=problem&id=1301