Disconjugacy characterization by means of spectral (k, n−k) problems. (February 2016)

• Record Type: Journal Article
• Authors: Cabada, Alberto; Saavedra, Lorena
• Is Part Of: Applied mathematics letters. Volume 52(2016:Feb.)
• Page Start: 21
• Page End: 29
• Publication Date: 2016-02
• Subjects: Disconjugation -- Espectral Theory -- Green's functions -- Non oscillation -- (k, n−k) problems; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2015.08.007
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: This paper is devoted to the description of the interval of parameters for which the, parameter dependence, general linear n th-order ordinary differential equation is disconjugate on a given bounded interval I . Such interval is characterized by the closest to zero eigenvalues of the considered problem coupled with the so-called ( k, n − k ) boundary conditions.