Regularization of Neutral Delay Differential Equations with Several Delays
Journal of Dynamics and Differential Equations, 2013 This paper is concerned with the system of neutral delay differential equations \[ \dot{y}(t)=f(y(t), \dot{y}(\alpha_1(y(t))), \cdots, \dot{y}(\alpha_m(y(t))) \text{ for } t>0, \] \[ y(t)=\varphi(t) \text{ for } t\leq 0, \] with smooth functions \(f(y, z_1, z_2, \cdots, z_m)\), \(\varphi(t)\) and \(\alpha_j(t)\).
GUGLIELMI, NICOLA, HAIRER E.
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Existence and Uniqueness of solutions for fractional neutral stochastic delay differential equations
Xi'an Gongcheng Daxue xuebao, 2022 Using the idea of step method, we discassed the existence and uniqueness of solutions of fractional neutral stochastic delay differential equations in the interval ［0,τ］,［τ,2τ］,…,［(n-1)τ,nτ］. Combining Picard iterative method and integral operator theory,
LI Jiamin, DING Xiaoli, WANG Miaomiao
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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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Solving neutral delay differential equations of pantograph type by using multistep block method [PDF]
, 2015 This paper will implement the use of two-point block method in the form of predictor-corrector Adams-Moulton to solve first order neutral delay differential equations (NDDES) of pantograph type.
Abdul Majid, Zanariah, Hoo, Yann Seong
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Reduced order modeling of delayed PEEC circuits [PDF]
, 2011 We propose a novel model order reduction technique that is able to accurately reduce electrically large systems with delay elements, which can be described by means of neutral delayed differential equations.
Antonini, Giulio +5 more
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An Oscillation Test for Solutions of Second-Order Neutral Differential Equations of Mixed Type
Mathematics, 2021 It is easy to notice the great recent development in the oscillation theory of neutral differential equations. The primary aim of this work is to extend this development to neutral differential equations of mixed type (including both delay and advanced ...
Osama Moaaz, Ali Muhib, Shyam S. Santra
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Multipoint model order reduction of delayed PEEC systems [PDF]
, 2011 We present a new model order reduction technique for electrically large systems with delay elements, which can be modeled by means of neutral delayed differential equations.
Antonini, Giulio +5 more
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Nonoscillatory solutions of neutral delay differential equations [PDF]
Bulletin of the Australian Mathematical Society, 1993 Consider the following neutral delay differential equationwherep∈R,τ∈ (0, ∞), δ ∈R+= (0, ∞) and Q ∈ (C([t0, ∞),R). We show that ifthen Equation (*)has a nonoscillatory solution whenp≠ –1. We also deal in detail with a conjecture of Chuanxi, Kulenovic and Ladas, and Györi and Ladas.
Chen, Ming-Po, Yu, J. S., Wang, Z. C.
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On Neutral Functional–Differential Equations with Proportional Delays
Journal of Mathematical Analysis and Applications, 1997 The paper deals with the well-posedness of the initial value problem for the neutral functional-differential equation \[ y'(t)= ay(t)+ \sum_{i=1}^\infty b_iy(q_it)+ \sum_{i=1}^\infty cy'(p_it), \qquad t>0, \quad y(0)=y_0 \] and the asymptotic behaviour of its solutions.
Iserles, Arieh, Liu, Yunkang
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On the behavior of the solutions for certain neutral delay integro-differential equations [PDF]
E-Journal of Analysis and Applied MathematicsSome results are given on the behavior of solutions of scalar linear and constant coefficient neutral delay integro-differential equations. These results are obtained using two different real roots of the relevant characteristic equation.
Ali Fuat Yeniçerioglu
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