On Systems of Ordinary Non Linear Differential Equations Involving Periodic Gov

Cover On Systems of Ordinary Non Linear Differential Equations Involving Periodic Gov
On Systems of Ordinary Non Linear Differential Equations Involving Periodic Gov
Joel Franklin
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2) equals t t l2 j jeL(T-0^(^)^^a^ = L J eL(*-^)a(Od^ - L ^ a{K)cd, we find p(t) - d{t) ^ 0, as required. Theorem. Assume the conditions of Section 2. Let x^ be a constant vector with Ix I < A . Assume that for < t < T the ' o ' - = equation t (3. 6) y(t) = x^ + j g{y{r))dT b has the solution y = v(t), and that for some a < A we have (3. 7) |v(t) 1 < a (0 < t < T) . Let T^*^ be the largest value of t ' < T for which the inequality max, , > ^ A-a (3.

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