1. Math
  2. Advanced Math
  3. let ft x gt x be continuous on t0 lessthanorequalto...

Question: let ft x gt x be continuous on t0 lessthanorequalto...

Question details

6. Let f (t, x), g (t, x) be continuous on to st< to +a Ix I< b and (t, x) g (t, x) I< E for some E 0, on t E [to te a) IxI, b Suppose that f (t, x) is Lipschitzian in x for a constant k >0. Let x() y() be solutions of y (t g (t, y) y(to) yo existing on [t to a such that l xo ye l< for some 0. Show that 1), t E [to, to a) k(t-lo) k(r-to)
Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution