An Improved Criterion for the Oscillation of Fourth-Order Differential Equations
Mathematics, 2020 The main purpose of this manuscript is to show asymptotic properties of a class of differential equations with variable coefficients r ν w ‴ ν β ′ + ∑ i = 1 j q i ν y κ g i ν = 0 , where ν ≥ ν 0 and w
Omar Bazighifan +2 more
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Oscillation of Third-Order Neutral Delay Differential Equations
Abstract and Applied Analysis, 2012 The purpose of this paper is to examine oscillatory properties of the third-order neutral delay differential equation [a(t)(b(t)(x(t)+p(t)x(σ(t)))′)′]′+q(t)x(τ(t))=0. Some oscillatory and asymptotic criteria are presented.
Tongxing Li +2 more
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Solving neutral delay differential equations with state-dependent delays
Journal of Computational and Applied Mathematics, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
BELLEN A, GUGLIELMI, NICOLA
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Investigation of Delay-Induced Hopf Bifurcation in a Fractional Neutral-Type Neural Network
Fractal and FractionalThis paper investigates stability switches induced by Hopf bifurcation in a fractional three-neuron network that incorporates both neutral time delay and communication delay, as well as a general structure.
Shuai Li, Xinyu Song, Chengdai Huang
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Dynamic analysis of a class of neutral delay model based on the Runge-Kutta algorithm
EURASIP Journal on Wireless Communications and Networking, 2018 In this paper, we study the dynamics of a class of second-order neutral delay nonlinear models. This study is applicable to many fields, such as engineering, cybernetics, and physics.
Hongying Luo
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Oscillation Criteria of Solutions of Fourth-Order Neutral Differential Equations
Fractal and Fractional, 2021 In this paper, we study the oscillation of solutions of fourth-order neutral delay differential equations in non-canonical form. By using Riccati transformation, we establish some new oscillation conditions.
Alanoud Almutairi +4 more
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Some Oscillation Results for Even-Order Differential Equations with Neutral Term
Fractal and Fractional, 2021 The objective of this work is to study some new oscillation criteria for even-order differential equation with neutral term rxzn−1xγ′+qxyγζx=0. By using the Riccati substitution and comparison technique, several new oscillation criteria are obtained for ...
Maryam Al-Kandari, Omar Bazighifan
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Oscillation of nonlinear neutral delay differential Equations [PDF]
Journal of Applied Mathematics and Computing, 2006 Sufficient conditions for the oscillation of the first-order nonlinear neutral delay differential equation \[ [x(t)-q(t)x(t-\sigma)]'+f(t,x(\tau(t)))=0 \] are given. The results obtained improve and extend some known results. One example is given to illustrate the results.
Elabbasy, Elmetwally M. +2 more
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Existence of solutions for abstract neutral integro-differential equations with unbounded delay [PDF]
, 2011 summary:In this paper we study the existence of classical solutions for a class of abstract neutral integro-differential equation with unbounded delay.
Hernández, Eduardo M. +4 more
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Oscillation of Two-Dimensional Neutral Delay Dynamic Systems
Advances in Mathematical Physics, 2013 We consider a class of nonlinear two-dimensional dynamic systems of the neutral type (x(t)-a(t)x(τ1(t)))Δ=p(t)f1(y(t)), yΔ(t)=-q(t)f2(x(τ2(t))). We obtain sufficient conditions for all solutions of the system to be oscillatory.
Xinli Zhang, Shanliang Zhu
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