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- W2016350528 abstract "where W(z) = (wik(z))n. In [12], (1) was called disconjugate in D if, for every choice of n (not necessarily distinct) points z1, . . *, Znin D, the only solution of (1) which satisfies wi(zi) = 0, i = 1,..., n, is the trivial one w(z) 0_ . Disconjugacy of (1) in D is equivalent to the fact that for any fundamental solution W(z) = (wik(z))l of (2) (i.e., for any solution W(z) for which the determinant W(z) = wik(z)l#O for all z of D), the determinant Iwik(z?) In#0 for every choice of n (not necessarily distinct) points z1,..., Zn of D [12, Theorem 3]. (If this holds for one fundamental solution of (2), then it holds for all of them.) This property may thus serve as the definition of disconjugacy of the systems (2), and (1), in D. We define now a more restrictive property than this above defined (ordinary) disconjugacy in D. DEFINITION 1. The differential systems (1) and (2) are called zo-absolute disconjugate in D if there exists a point zo E D such that the solution W(z) = (wik(z)) of (2), determined by" @default.
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- W2016350528 date "1969-01-01" @default.
- W2016350528 modified "2023-09-26" @default.
- W2016350528 title "Disconjugacy of complex differential systems and equations" @default.
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- W2016350528 doi "https://doi.org/10.1090/s0002-9947-1969-0237875-2" @default.
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