Existence & Uniqueness
Summary
In this appendix we cover existence and uniqueness theory for initial-value problems of the form $$ \left\{ \begin{aligned} \frac{\mathrm{d} y}{\mathrm{d} t}&=f(y,t)\quad t>0 \\ y(t_0)&=y_0 \end{aligned} \right. $$
In this appendix we cover existence and uniqueness theory for initial-value problems of the form $$ \left\{ \begin{aligned} \frac{\mathrm{d} y}{\mathrm{d} t}&=f(y,t)\quad t>0 \\ y(t_0)&=y_0 \end{aligned} \right. $$