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Forced oscillation of third order nonlinear dynamic equations on time scales

Baoguo Jia — 2010

Annales Polonici Mathematici

Consider the third order nonlinear dynamic equation $x^{Δ Δ Δ} (t) + p (t) f (x) = g (t)$ , (*) on a time scale which is unbounded above. The function f ∈ C(,) is assumed to satisfy xf(x) > 0 for x ≠ 0 and be nondecreasing. We study the oscillatory behaviour of solutions of (*). As an application, we find that the nonlinear difference equation $Δ ³ x (n) + n^{α} {| x |}^{γ} s g n (n) = (- 1) ⁿ n^{c}$ , where α ≥ -1, γ > 0, c > 3, is oscillatory.

A note on an inequality for the gamma function.

Jia, Baoguo — 2006

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

A generalization for Ostrowski's inequality in $ℝ^{2}$ .

Jia, Baoguo — 2006

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Oscillation of second-order sublinear dynamic equations with damping on isolated time scales.

Lin, Quanwen; Jia, Baoguo — 2010

Advances in Difference Equations [electronic only]

Forced oscillation of second-order half-linear dynamic equations on time scales.

Lin, Quanwen; Jia, Baoguo; Wang, Qiru — 2010

Abstract and Applied Analysis

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