Oscillation of Fourth-order Dynamic Equations
نویسندگان
چکیده
In this paper we shall reduce the problem of the oscillation of all solutions of certain nonlinear fourth-order dynamic equations to the problem of oscillation of two second-order dynamic equations, which are discussed intensively in the literature. Further oscillation criteria of fourth-order equations are given and proved using integration and Taylor’s formula on time scales. Some conditions are presented that ensure that all bounded solutions of the equation are oscillatory.
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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