Stability for the damped wave equation with neutral delay
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DOI: 10.1002/mana.201600229
Abstract: Of concern is a wave equation with a distributed neutral delay. We prove that, despite the destructive nature of delays in general, solutions may go back to the equilibrium state in an exponential manner as… read more here.
Keywords: neutral delay; stability damped; delay; damped wave ... See more keywords
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
Application of the hybrid functions to solve neutral delay functional differential equations
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DOI: 10.1080/00207160.2015.1114612
Abstract: ABSTRACT This paper presents a computational technique for the solution of the neutral delay differential equations with state-dependent and time-dependant delays. The properties of the hybrid functions which consist of block-pulse functions plus Legendre polynomials… read more here.
Keywords: neutral delay; functions solve; application hybrid; differential equations ... See more keywords
Hybrid Multistep Block Method for Solving Neutral Delay Differential Equations
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DOI: 10.17576/jsm-2020-4904-22
Abstract: The initial-value problem for first order single linear neutral delay differential equations (NDDEs) of constant and pantograph delay types have been solved by using hybrid multistep block method. The method has been derived by applying… read more here.
Keywords: neutral delay; method; delay; differential equations ... See more keywords
Nonoscillation and Oscillation Criteria for a Class of Second-Order Nonlinear Neutral Delay Differential Equations with Positive and Negative Coefficients
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DOI: 10.3390/axioms11060281
Abstract: In this paper, we investigate some nonoscillatory and oscillatory solutions for a class of second-order nonlinear neutral delay differential equations with positive and negative coefficients. By means of the method of contraction mapping principle and… read more here.
Keywords: nonlinear neutral; order nonlinear; class second; second order ... See more keywords