On Conjugacy of High-order Linear Ordinary Differential Equations
نویسنده
چکیده
It is shown that the differential equation u(n) = p(t)u, where n ≥ 2 and p : [a, b] → R is a summable function, is not conjugate in the segment [a, b], if for some l ∈ {1, . . . , n− 1} , α ∈]a, b[ and β ∈]α, b[ the inequalities n ≥ 2 + 1 2 (1 + (−1)n−l), (−1)n−lp(t) ≥ 0 for t ∈ [a, b],
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تاریخ انتشار 2001