Disconjugacy Criteria for Matrix Difference Equations
Discrete inequalities are given and applied to the matrix-Jacobi equation, -Δ2yt-1 + ptyt = 0, to develop criteria for disconjugacy that take into account the cancellation of positive and negative parts of pt.
S. L. Clark and D. B. Hinton, "Disconjugacy Criteria for Matrix Difference Equations," Computers and Mathematics with Applications, vol. 45, no. 2019-06-09, pp. 1013 - 1020, Elsevier, Mar 2003.
The definitive version is available at https://doi.org/10.1016/S0898-1221(03)00078-6
Mathematics and Statistics
Keywords and Phrases
Boundary conditions; Eigenvalues and eigenfunctions; Function evaluation; Mathematical operators; Matrix algebra; Set theory; Theorem proving; Vectors; Disconjugacy criteria; Matrix-Jacobi equation; Difference equations; Disconjugacy; Matrix-Jacobi equation; Nonoscillation
International Standard Serial Number (ISSN)
Article - Journal
© 2003 Elsevier, All rights reserved.
01 Mar 2003