Existence of Noncontinuable Solutions
نویسنده
چکیده
This paper presents necessary and sufficient conditions for an n-th order differential equation to have a non-continuable solution with finite limits of its derivatives up to the orders n − 2 at the right-hand end point of the definition interval.
منابع مشابه
On Noncontinuable Solutions of Differential Equations with Delay
(1) where n ≥ 2, f is a continuous function defined on R+ × R , R+ = [0,∞), R = (−∞,∞), τi ∈ C (R+) and τi(t) ≤ t for t ∈ R+ and i = 0, 1, . . . , n− 1 . We will suppose for the simplicity that inf t∈R+ τi(t) > −∞ for i = 0, 1, . . . , n − 1. Note, that C(I), s ∈ {0, 1, . . .}, I ⊂ R+ is the set of continuous functions on I that have continuous derivatives up to the order s. A special case of e...
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