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Walsh, James A. - Department of Mathematics, Oberlin College
Exercise 23 solution: (a) Let ! 1 ! ! 2 : Then for all x 2 R; F ! 1
Reverse bifurcations in a unimodal queueing model James A. Walsh
Exercise 11 solution: (a) Suppose there exist integers p; q and a real x satisfying F q (x) = x + p. then
Exercise 3 solution: Let n be an integer. Suppose there exist x1, x2 2 [n, n +* F (x1) = F (x2). Given F is a lift of f, ssF (x1) = ssF (x2) implies fss(x1) =*
Exercise 23 solution: (a) Let !1 < !2. Then for all x 2 R, F!1(x) < F!2(x). We claim F!n1(x) < F!n2(*
Exercise 11 solution: (a) Suppose there exist integers p, q and a real x satisfying F q(x) = x + p. t*
Exercise 14 solution: Suppose ae(f) = p=q. By Theorem 1, F has a p=q-periodic * x0 which satisfies F q(x0) -p = x0. Note that, for any integer k, F q(x0 + k)*