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Physical Sciences and Mathematics Commons

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Mathematics

Mathematics and Statistics Faculty Research & Creative Works

2016

Differential equations

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Full-Text Articles in Physical Sciences and Mathematics

Oscillation Criteria For Fourth Order Nonlinear Positive Delay Differential Equations With A Middle Term, Said R. Grace, Elvan Akin Jan 2016

Oscillation Criteria For Fourth Order Nonlinear Positive Delay Differential Equations With A Middle Term, Said R. Grace, Elvan Akin

Mathematics and Statistics Faculty Research & Creative Works

In this article, we establish some new criteria for the oscillation of fourth order nonlinear delay differential equations of the form (Equation presented) provided that the second order equation (Equation presented) is nonoscillatiory or oscillatory. This equation with g(t) = t is considered in [8] and some oscillation criteria for this equation via certain energy functions are established. Here, we continue the study on the oscillatory behavior of this equation via some inequalities.