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
Oscillation criteria for a class of nonlinear discrete fractional order equations with damping term
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DOI: 10.1515/ms-2017-0422
Abstract: Abstract The aim in this work is to investigate oscillation criteria for a class of nonlinear discrete fractional order equations with damping term of the form Δa(t)Δr(t)gΔαx(t)β+p(t)Δr(t)gΔαx(t)β+F(t,G(t))=0,t∈Nt0. $$\begin{array}{} \displaystyle \Delta\left[a(t)\left[\Delta\left(r(t)g\left(\Delta^\alpha x(t)\right)\right)\right]^\beta\right]+p(t)\left[\Delta\left(r(t)g\left(\Delta^\alpha x(t)\right)\right)\right]^\beta+F(t,G(t))=0, t\in N_{t_0}. \end{array}$$… read more here.
Keywords: order; oscillation criteria; fractional order; damping term ... See more keywords
Interval oscillation criteria for impulsive conformable partial differential equations
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DOI: 10.2298/aadm180613006c
Abstract: In this paper, we present some sufficient conditions for the oscillation of all solutions of forced impulsive delay conformable partial differential equations. We consider two factors, namely impulse and delay that jointly affect the interval… read more here.
Keywords: impulsive conformable; interval oscillation; conformable partial; partial differential ... See more keywords
Oscillation Criteria for Second Order Ordinary Differential Equations
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DOI: 10.4153/s0008439519000262
Abstract: Abstract We establish new oscillation criteria for nonlinear differential equations of second order. The results here make some improvements of oscillation criteria of Butler, Erbe, and Mingarelli [2], Wong [8, 9], and Philos and Purnaras… read more here.
Keywords: differential equations; oscillation criteria; criteria second; order ordinary ... See more keywords
Oscillation criteria for linear difference equations with several variable delays
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DOI: 10.7494/opmath.2021.41.5.613
Abstract: We obtain new sufficient criteria for the oscillation of all solutions of linear delay difference equations with several (variable) finite delays. Our results relax numerous well-known limes inferior-type oscillation criteria from the literature by letting… read more here.
Keywords: difference equations; several variable; oscillation criteria; equations several ... See more keywords