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

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摘要

In this paper, we will establish some sufficient conditions which guarantee that every solution of the third-order nonlinear dynamic equation(c(t)(a(t)xΔ(t))Δ)Δ+q(t)f(x(t))=0,t⩾t0,oscillates or converges to zero.

论文关键词：34K11,39A10,39A99 (34A99;34C10;39A11),Oscillation,Third-order nonlinear dynamic equation,Time scale,Riccati transformation technique

论文评审过程：Received 24 November 2003, Revised 15 September 2004, Available online 18 December 2004.

论文官网地址：https://doi.org/10.1016/j.cam.2004.11.021