Two‐Point Oscillation for a Class of Second‐Order Damped Linear Differential Equations

Kong Xiang-Cong and Zheng Zhao-Wen

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: Using the comparison theorem, the two‐point oscillation for linear differential equation with damping term y′′+(f(x)/(x-x2) α)y′ + (g(x)/(x−x2)β)y=0 is considered, where α, β > 0; f(x), g(x) > 0, and f(x),g(x)∈C(I¯), I=(01,). Results are obtained that 0 3 or α > 3/2, β > 2α imply the two‐point oscillation of the equation.

Date: 2011
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https://doi.org/10.1155/2011/420589

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:420589

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