Tag

analysis

2 posts

Diagram illustrating the complex analytic implicit function theorem for two variables

The Complex Analytic Implicit Function Theorem: A Brief Revisit

A concise look at the complex analytic version of the Implicit Function Theorem (IFT), focusing on the case of two complex variables and its generalization.

May 20, 20251 min read

Visualization of solution uniqueness in implicit differential equations

mathematics

mathematicsdifferential equationsanalysis

Cauchy-Lipschitz Theorem for Implicit ODEs: Existence and Uniqueness

Explore the Cauchy-Lipschitz (Picard-Lindelöf) theorem for implicit ordinary differential equations, which establishes rigorous conditions for existence and uniqueness of solutions in the general case.

March 20, 20251 min read

analysis — posts | Dr. Denys Dutykh