Existence and Uniqueness of Solution to ODEs: Lipschitz Continuity

摘要

The study of existence and uniqueness of solution of ordinarydifferential equation (ODE) became important due to the lack ofgeneral formula for solving nonlinear ODEs. In this article, weshall discuss briefly about the existence and uniqueness of solutionof a first order ODE. A special emphasis is given on theLipschitz continuous functions in the discussion.