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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