The Lipschitz K(t) – Function for the Initial Value Problem (i.v.p) of an Ordinary Differential Equation (o.d.e) in One Dimension
Year: 2025
Type: article
Abstract: An elaborate but brief proof of the existence and uniqueness of the solution of an i.v.p for an o.d.e. is given. Because in both proofs the same initial condition is used, a considerable simplification of the K(t) Lipschitz function takes place. If the solution of the o.d.e. is known then the maximum interval of existence of the o.d.e. can be found again.
Author: Thanassis E. Dialynas
Institution: University of Crete
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4410924110