Source: wikibot/liouville-neumann-series

= Liouville–Neumann series
{wiki=Liouville–Neumann_series}

The Liouville–Neumann series is a mathematical series used in the context of solving linear differential equations, specifically in the theory of differential operators. It is closely associated with the study of linear time-dependent systems and can be used for analyzing the solutions of linear ordinary differential equations (ODEs). **Definition and Context:** Consider a linear differential operator \\( L(t) \\), which typically depends on time \\( t \\).