Uniqueness Theorem

States that a function with defined value at the boundaries that satisfies Poisson’s equation, there is one unique solution

Topics

• First Uniqueness Theorem
• Second Uniqueness Theorem

DEQ

$\exists R:\frac{\partial f}{\partial y}\text{ is defined and continuous on }R\text{, a rectangle}:(t_0,y_0)\in R\to \exists !y(t)$

• Uniqueness theorem for $y^{\prime }=f(t,y)$ with IVP