Asymptotic behavior of solutions of a third-order nonlinear dynamic equation on time scales

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Oscillation of third order nonlinear functional dynamic equations on time scales (2010, background): “Recently, Erbe et al [12–14] considered the third order dynamic equations (a(t)(r(t)x(t))) + p(t)f(x(t)) = 0, x(t) + p(t)x(t) = 0, and (a(t)[(r(t)x(t))]) + f(t, x(t)) = 0, where γ ≥ 1 is the quotient of odd positive integers.”
Hille and Nehari type criteria for third-order dynamic equations (2007, methodology): “We refer the reader to the papers [1-3], [6], [7], [ 9-12 ], [22-28] and the references cited therein.”
Oscillation of second-order damped dynamic equations on time scales (2007, background): “In the last few years, much interest has focused on obtaining sufficient conditions for the oscillation/nonoscillation of solutions of different classes of dynamic equations on time scales, and we refer the reader to the papers [3–7,10–20,22,25–27].”
Oscillation criteria for second-order nonlinear delay dynamic equations (2007, unknown): “We refer the reader to the papers [2–6,8–15,18–24] and the references cited therein.”
Hille and Nehari type criteria for third-order delay dynamic equations (2013, result): “[13] considered a thirdorder ordinary dynamic equation ðaðrxDÞDÞDðtÞ þ pðtÞf ðxðtÞÞ 1⁄4 0; ð1:1Þ where f [ CðR;RÞ is assumed to satisfy uf ðuÞ .”