Hille and Nehari-Type Oscillation Criteria for Third-Order Emden–Fowler Neutral Delay Dynamic Equations
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DOI: 10.1007/s40840-016-0354-y
Abstract: We establish some oscillation criteria for the third-order Emden–Fowler neutral delay dynamic equations of the form: $$\begin{aligned} (a(t)(x(t)+r(t)x(\tau (t)))^{\Delta \Delta })^\Delta +p(t)x^\gamma (\delta (t))=0 \end{aligned}$$(a(t)(x(t)+r(t)x(τ(t)))ΔΔ)Δ+p(t)xγ(δ(t))=0on a time scale $$\mathbb {T}$$T, where $$\gamma >0$$γ>0 is a… read more here.
Keywords: dynamic equations; delay dynamic; neutral delay; oscillation criteria ... See more keywords
A delay dynamic model of love affair with cautious partners
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DOI: 10.1063/1.5020926
Abstract: We investigate love dynamics of two individuals in a delay love affair model in which both are assumed to be cautious, the most natural romantic style. The local stability analysis proves first that the steady… read more here.
Keywords: love affair; model love; dynamic model; affair ... See more keywords
Properties of third-order nonlinear delay dynamic equations with positive and negative coefficients
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DOI: 10.1186/s13662-019-2190-5
Abstract: We study asymptotic properties of a class of third-order nonlinear delay dynamic equations with positive and negative coefficients on time scales. In this paper, we establish new results on asymptotic behavior of nonoscillatory and oscillatory… read more here.
Keywords: delay dynamic; dynamic equations; order; nonlinear delay ... See more keywords