✦ LIBER ✦

Disconjugacy criteria for matrix difference equations

✍ Scribed by S. Clark; D. Hinton

Book ID: 104352483
Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 373 KB
Volume: 45
Category: Article
ISSN: 0898-1221
DOI: 10.1016/s0898-1221(03)00078-6

No coin nor oath required. For personal study only.

✦ Synopsis

Discrete inequalities

are given and applied to the matrix-Jacobi equation, -A2yt-r + ptyt = 0, to develop criteria for disconjugacy that take into account the cancellation of positive and negative parts of pt.

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## Abstract We determine conditions on the coefficients of both second and fourth order differential operators which give disconjugacy. The conditions exploit the change of sign of the coefficients to show how the change of sign enhances disconjugacy. An application is given to the stability of sol