Skip to main content

Lipschitz Condition, Uniqueness, and Stablilty of Solutions of Differential Equations

Dr. Muhammad N. IslamDr. Muhammad N. Islam / University of Dayton

We consider an initial value problem of a system of nonlinear ordinary differential equations. We obtain asymptotically stable solutions. We emphasize the importance of non-uniqueness of solutions in the process of obtaining such asymptotically stable solutions. This requires that the function involved in the differential equation must not satisfy a Lipschitz condition.

Open /*deleted href=#openmobile*/