Disconjugacy Criteria for Matrix Difference Equations

Author

Stephen L. Clark, Missouri University of Science and TechnologyFollow
Don B. Hinton

Abstract

Discrete inequalities are given and applied to the matrix-Jacobi equation, -Δ²y_t-1 + p_ty_t = 0, to develop criteria for disconjugacy that take into account the cancellation of positive and negative parts of p_t.

Recommended Citation

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

Department(s)

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)

0898-1221

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2003 Elsevier, All rights reserved.

Publication Date

01 Mar 2003