Asymptotics and oscillation of higher-order functional dynamic equations with Laplacian and deviating arguments
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DOI: 10.1186/s13662-016-1065-2
Abstract: In this paper, we deal with the asymptotics and oscillation of the solutions of higher-order nonlinear dynamic equations with Laplacian and mixed nonlinearities of the form {rn−1(t)ϕαn−1[(rn−2(t)(⋯(r1(t)ϕα1[xΔ(t)])Δ⋯)Δ)Δ]}Δ+∑ν=0Npν(t)ϕγν(x(gν(t)))=0 $$\begin{aligned}& \bigl\{ r_{n-1}(t) \phi_{\alpha_{n-1}} \bigl[ \bigl(r_{n-2}(t) \bigl(\cdots \bigl(r_{1}(t)\phi… read more here.
Keywords: bigl; bigr; equations laplacian; higher order ... See more keywords