A second-order nonlinear difference equation: Oscillation and asymptotic behavior

Autor:	John W. Hooker, William T. Patula
Rok vydání:	1983
Předmět:	Nonlinear difference equation Oscillation Applied Mathematics Mathematical analysis Order (group theory) Analysis Mathematics
Zdroj:	Journal of Mathematical Analysis and Applications. 91:9-29
ISSN:	0022-247X
DOI:	10.1016/0022-247x(83)90088-4
Popis:	Discrete analogues are investigated for well-known results on oscillation, growth, and asymptotic behavior of solutions of y″ + q(t) yγ = 0, for q(t) ⩾ 0 and for q(t) ⩽ 0. The analogue of Atkinson's oscillation criterion is shown to be true for Δ2yn − 1 + qn ynγ = 0, but the analogue for Atkinson's nonoscillation criterion is shown to be false.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4f0c2178a66480798044c6d343682b1f https://doi.org/10.1016/0022-247x(83)90088-4 Zobrazit plný text záznamu