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
Sign Up to like & getrecommendations! Published in 2017 at "Bulletin of the Malaysian Mathematical Sciences Society"
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
Well-posedness and stability result for a swelling porous elastic system with neutral delay and porous damping
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DOI: 10.2298/fil2409055b
Abstract: This study takes into account a one-dimensional swelling porous elastic system with neutral delay and porous damping acting on the second equation. We verify the existence and uniqueness of the solution using Faedo-Galerkin approach, and… read more here.
Keywords: porous damping; system; porous elastic; neutral delay ... 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
Third-Order Noncanonical Neutral Delay Differential Equations: Nonexistence of Kneser Solutions via Myshkis Type Criteria
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DOI: 10.3390/math12182847
Abstract: The purpose of this paper is to add some new asymptotic and oscillatory results for third-order neutral delay differential equations with noncanonical operators. Without assuming any extra conditions, by using the canonical transform technique, the… read more here.
Keywords: myshkis type; differential equations; neutral delay; third order ... See more keywords
Oscillation and Asymptotic Behavior of Third-Order Neutral Delay Differential Equations with Mixed Nonlinearities
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DOI: 10.3390/math13050783
Abstract: In the present article, we create new sufficient conditions for the oscillatory and asymptotic behavior of solutions of third-order nonlinear neutral delay differential equations with several super-linear and sub-linear terms. The results are obtained first… read more here.
Keywords: differential equations; neutral delay; third order; asymptotic behavior ... See more keywords