Dynamic Systems and Applications 24 (2015) 211-220 LYAPUNOV TYPE INEQUALITIES FOR SECOND ORDER SUB AND SUPER-HALF-LINEAR DIFFERENTIAL EQUATIONS
نویسندگان
چکیده
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|∗−1s. AMS (MOS) Subject Classification. 34C10, 34C15.
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تاریخ انتشار 2015