In this problem we deal with the question of uniqueness of
Chapter 2, Problem 19(choose chapter or problem)
In this problem we deal with the question of uniqueness of the solution of the integralequation (3)(t) =t0f[s, (s)] ds.(a) Suppose that and are two solutions of Eq. (3). Show that, for t 0,(t) (t) =t0{f[s, (s)] f[s, (s)]} ds.(b) Show that|(t) (t)| t0|f[s, (s)] f[s, (s)]| ds.(c) Use the result of to show that|(t) (t)| Kt0|(s) (s)| ds,where K is an upper bound for |f /y| in D. This is the same as Eq. (30), and the rest ofthe proof may be constructed as indicated in the text.2.
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