Local solutions to positive characteristic non-Archimedean differential equations
Local solutions to positive characteristic non-Archimedean differential equations
Abstract In the complex domain, one can integrate (solve) holomorphic ordinary differential equations (ODEs) near a non-singular point. We study the existence of solutions in the case of a positive characteristic base field k which is complete with respect to a non-Archimedean absolute value. ODEs are substituted by modules over …