LYAPUNOV TYPE INEQUALITIES FOR SECOND ORDER SUB AND SUPER-HALF-LINEAR DIFFERENTIAL EQUATIONS

TitleLYAPUNOV TYPE INEQUALITIES FOR SECOND ORDER SUB AND SUPER-HALF-LINEAR DIFFERENTIAL EQUATIONS
Publication TypeJournal Article
Year of Publication2015
AuthorsAGARWAL RAVIP, OZBEKLER ABDULLAH
JournalDynamic Systems and Applications
Volume24
Start Page211
Pagination9
Date Published2015
ISSN1056-2176
AMS Subject Classification34C10, 34C15
Abstract

In the case of oscillatory potential, we present a Lyapunov type inequality for second order differential equations of the form (r(t)Φβ(x ′ (t)))′ + q(t)Φγ(x(t)) = 0, in the sub-half-linear (0 < γ < β) and the super-half-linear (0 < β < γ < 2β) cases where Φ∗(s) = |s| ∗−1 s.

PDFhttps://acadsol.eu/dsa/articles/24/16-dsa-211-220.pdf
Refereed DesignationRefereed