Favard theory and fredholm alternative for disconjugate recurrent second order equations | Zendy

Juan Campos | Zendy; Rafael Obaya | Zendy; Massimo Tarallo | Zendy

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Favard theory and fredholm alternative for disconjugate recurrent second order equations

Author(s) -

Juan Campos,

Rafael Obaya,

Massimo Tarallo

Publication year - 2017

Publication title -

communications on pure andamp applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.077

H-Index - 42

eISSN - 1553-5258

pISSN - 1534-0392

DOI - 10.3934/cpaa.2017059

Subject(s) - fredholm theory , bounded function , mathematics , simple (philosophy) , fredholm integral equation , mathematical analysis , order (exchange) , integral equation , philosophy , epistemology , finance , economics

Producción CientíficaWe discuss the existence of a Fredholm--type Alternative for a recurrent second order linear equation, which is disconjugate in a strong sense. The basic result is about bounded solutions of equations with bounded coefficients: it depends on kinematic similarities that allow to reduce the problem to a pair of very simple normal forms. Then the result is specialized to recurrent equations, by means of Favard theory.MINECO/FEDER MTM2015-6633

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