MONOTONE AND OSCILLATORY BEHAVIOR OF CERTAIN FOURTH ORDER NONLINEAR DYNAMIC EQUATIONS

TitleMONOTONE AND OSCILLATORY BEHAVIOR OF CERTAIN FOURTH ORDER NONLINEAR DYNAMIC EQUATIONS
Publication TypeJournal Article
Year of Publication2010
AuthorsGRACE SAIDR, AGARWAL RAVIP, SAE-JIE WICHUTA
JournalDynamic Systems and Applications
Volume19
Start Page25
Pagination8
Date Published2010
ISSN1056-2176
AMS Subject Classification34C10, 34K11, 39A11
Abstract

Monotone and oscillatory behavior of solutions of the fourth order dynamic equation (a(x ∆∆) α ) ∆∆(t) + q(t)(x σ ) β (t) = 0 with the property that x(t) R t t0 R s t0 a−1/α(τ)∆τ∆s → 0 as t → ∞ are established. 
PDFhttps://acadsol.eu/dsa/articles/19/02-DSA-02.pdf
Refereed DesignationRefereed