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Article
Disconjugacy Criteria for Matrix Difference Equations
Computers and Mathematics with Applications
  • Stephen L. Clark, Missouri University of Science and Technology
  • Don B. Hinton
Abstract

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.

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
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2003 Elsevier, All rights reserved.
Publication Date
3-1-2003
Publication Date
01 Mar 2003
Citation Information
Stephen L. Clark and Don B. Hinton. "Disconjugacy Criteria for Matrix Difference Equations" Computers and Mathematics with Applications Vol. 45 Iss. 2019-06-09 (2003) p. 1013 - 1020 ISSN: 0898-1221
Available at: http://works.bepress.com/stephen_clark/64/