论文信息 - A necessary and sufficient condition for oscillation of the Sturm--Liouville dynamic equation on time scales

A necessary and sufficient condition for oscillation of the Sturm--Liouville dynamic equation on time scales

In this paper, we investigate oscillatory properties of the second order Sturm-Liouville dynamic equation on a time scale (r(t)xΔ)Δ + c(t)xσ = 0. (*) Using the so-called trigonometric transformation we establish a necessary and sufficient condition for oscillation of (*). This condition is then used to derive an explicit oscillation criterion for this equation.

Ondrej Doslý | Stefan Hilger | S. Hilger | O. Doslý

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