Hello Everyone.(adsbygoogle = window.adsbygoogle || []).push({});

I have a question. Suppose I have a differential equation for which I want to find the values at which [itex]\displaystyle f(x,y)[/itex] and [itex]\displaystyle \frac{\partial f}{\partial y}[/itex] are discontinuous, that I might know the points at which more than one solution exists. Suppose that [itex]\displaystyle y_1[/itex] is such a value. Now suppose we want to find a unique solution at [itex]\displaystyle (x_0, y_0)[/itex], and that it exists. My question is, can the region that encloses [itex]\displaystyle (x_0,y_0)[/itex] also include [itex]\displaystyle y_1[/itex]?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Existence and Uniqueness Theorem

Loading...

Similar Threads for Existence Uniqueness Theorem |
---|

A Spectral Theorem to Convert PDE into ODE |

A Intermediate Axis Theorem - Lyapunov's Indirect Method |

**Physics Forums | Science Articles, Homework Help, Discussion**