Positive cones and focal points for a class of 𝑛th-order differential equations

Keener, M. S.; Travis, C. C.

doi:10.1090/S0002-9947-1978-0479377-X

Positive cones and focal points for a class of $n$th-order differential equations
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by M. S. Keener and C. C. Travis PDF

Trans. Amer. Math. Soc. 237 (1978), 331-351 Request permission

Abstract:

Necessary and sufficient conditions are obtained for both the existence and absence of focal points for a class of nth order linear differential equations. The techniques utilized the theory of ${\mu _0}$-positive operators with respect to a cone in a Banach space.

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Green’s functions and disconjugacy

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