Forced oscillation of second-order superlinear dynamic equations on time scales
نویسنده
چکیده
In this paper, by constructing a class of Philos type functions on time scales, we investigate the oscillation of the following second-order forced nonlinear dynamic equation x(t)− p(t)|x(q(t))|x(q(t)) = e(t), t ∈ T where T is a time scale, p, e : T → R are right dense continuous functions with p > 0, λ > 1 is a constant, and q(t) = t or q(t) = σ(t). Our results not only unify the oscillation of second-order forced differential equations and their discrete analogues, but also complement several results in the literature.
منابع مشابه
On the Oscillation of Fourth Order Superlinear Dynamic Equations on Time Scales
Some oscillation criteria for the oscillatory behavior of fourth order superlinear dynamic equations on time scales are established. Criteria are proved that ensure that all solutions of superlinear and linear equations are oscillatory. Many of our results are new for corresponding fourth order superlinear di¤erential equations and fourth order superlinear di¤erence equations.
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