Open AccessFavard 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 and 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