【摘 要】
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In this paper, we investigate the oscillation of second-order half-linear neutral dynamic equations with distributed deviating arguments of the form (r(t) |
【机 构】
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Department of Mathematics and Computational Science, Hengyang Normal University ,Hunan, 421002, Chin
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In this paper, we investigate the oscillation of second-order half-linear neutral dynamic equations with distributed deviating arguments of the form (r(t) |zΔ(t)|α-1 z△(t)△ +∫ba q(t,ξ)|x(g(t,ξ))|α-1 x(g(t,ξ))△ξ =0,where r(t)and p(t) are real-valued rd-continuous positive functions definedon T,z(t) =x(t) + p(t)x(τ(t)) and α is a constant with α ≥ 1.By using the generalized Riccati transformation and the inequality technique, we establish some new oscillatory criteria for all solutions to second-order half-linear neutral dynamic equations being oscillatory on the time scale T.In addition, some examples are given to illustrate our main results.
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