Geodesic
Strong and Quasistrong Disconjugacy
Canadian mathematical bulletin, Tome 25 (1982) no. 4, pp. 435-440

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DOI

A complex linear homogeneous differential equation of the nth order is called strong disconjugate in a domain G if, for every n points z 1,..., z n in G and for every set of positive integers, k 1..., k l, k 1 + ... + k l = n, the only solution y(z) of the equation which satisfies is the trivial one y(z) = 0. The equation y (n)(z) = 0 is strong disconjugate in the whole plane and for every other set of conditions of the form y(m k (z k ) = 0, k = 1 , . . . , n, m 1 ≤ m 2... m n , there exist, in any given domain, points z 1 , . . . , z n and nontrivial polynomials of degree smaller than n, which satisfy these conditions. An analogous results holds also for real disconjugate differential equations.
DOI : 10.4153/CMB-1982-062-x
Mots-clés : 34C10 
London, David; Schwarz, Binyamin. Strong and Quasistrong Disconjugacy. Canadian mathematical bulletin, Tome 25 (1982) no. 4, pp. 435-440. doi: 10.4153/CMB-1982-062-x
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     title = {Strong and {Quasistrong} {Disconjugacy}},
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