Focal decompositions for linear differential equations of the second order

L. Birbrair, M. Sobolevsky and P. Sobolevskii

Abstract and Applied Analysis, 2003, vol. 2003, issue 14, 813-821

Abstract: Focal decomposition associated to an ordinary differential equation of the second order is a partition of the set of all two‐points boundary value problems according to the number of their solutions. Two equations are called focally equivalent if there exists a homomorphism of the set of two‐points problems to itself such that the image of the focal decomposition associated to the first equation is a focal decomposition associated to the second one. In this paper, we present a complete classification for linear second‐order equations with respect to this equivalence relation.

Date: 2003
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https://doi.org/10.1155/S1085337503212057

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2003:y:2003:i:14:p:813-821

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