Homework due 10/27

Chapter 8

Problems 3, 7, 11, 12, 17, 19, 20, 21

Prove the existence and uniqueness theorem for non-autonomous ODEs: x' = f(x,t).

Prove that if a half-trajectory H^* in R^n is stable when one norm is used to measure distance then it's stable when a different norm is used to measure distance.