Title | LYAPUNOV TYPE INEQUALITIES FOR SECOND ORDER SUB AND SUPER-HALF-LINEAR DIFFERENTIAL EQUATIONS |
Publication Type | Journal Article |
Year of Publication | 2015 |
Authors | AGARWAL RAVIP, OZBEKLER ABDULLAH |
Journal | Dynamic Systems and Applications |
Volume | 24 |
Start Page | 211 |
Pagination | 9 |
Date Published | 2015 |
ISSN | 1056-2176 |
AMS Subject Classification | 34C10, 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. |
https://acadsol.eu/dsa/articles/24/16-dsa-211-220.pdf | |
Refereed Designation | Refereed |