A sturm separation theorem for a linear 2n th order self-adjoint differential equation. (1995)

• Record Type: Journal Article
• Authors: Fulton, Charles T.; Wu, Limin; Pruess, Steven
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 8:Number 1(1995)
• Page Start: 29
• Page End: 46
• Publication Date: 1995
• Subjects: conjoined solutions -- Green's formula -- oscillation theory -- separation theorem -- Sturm-Picone identity -- Wronskian -- zeros and n-fold zeros; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953395000037
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : For the 2 n th order equation, ( − 1 ) n v ( 2 n ) + q v = 0, with q continuous, we obtain a Sturm Separation theorem, involving n + 1 solutions of the equation, which is somewhat analogous to the classical result that the zeros of two linearly independent solutions of the second order equation separate each other.