Results 21 to 30 of about 104,422 (284)
A Liapunov functional for a matrix neutral difference-differential equation with one delay [PDF]
, 1917 For the matrix neutral difference-differential equation ẋ(t) + Aẋ(t − τ) Bx(t) + Cx(t − τ) we construct a quadratic Liapunov functional which gives necessary and sufficient conditions for the asymptotic stability of the solutions of that equation. We
Fukuchi, N. +6 more
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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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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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New Improved Results for Oscillation of Fourth-Order Neutral Differential Equations
Mathematics, 2021 In this study, a new oscillation criterion for the fourth-order neutral delay differential equation ruxu+puxδu‴α′+quxβϕu=0,u≥u0 is established. By introducing a Riccati substitution, we obtain a new criterion for oscillation without requiring the ...
Osama Moaaz +4 more
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Implementation of variable step size strategy for solving neutral delay differential equation in multistep block method [PDF]
, 2015 The numerical solution of neutral delay differential equation (NDDE) with variable step size implementation in multistep block method is addressed in this paper.
Abdul Aziz, Nurul Huda +1 more
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AIMS Mathematics, 2020 In this paper, we investigate a class of third-order singular neutral differential equations with time-dependent delay. Applying Krasnoselskii’s fixed point theorem, we prove the existence results of a positive periodic solution for this neutral equation.
Yun Xin, Hao Wang
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Hopf bifurcation analysis of scalar implicit neutral delay differential equation
Electronic Journal of Qualitative Theory of Differential Equations, 2018 Hopf bifurcation analysis is conducted on a scalar implicit Neutral Delay Differential Equation (NDDE) by means of the extension of two analytical methods: 1) center manifold reduction combined with normal form theory; 2) method of multiple scales.
Li Zhang, Gábor Stépán
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Noncanonical Neutral DDEs of Second-Order: New Sufficient Conditions for Oscillation
Mathematics, 2021 In this paper, new oscillation conditions for the 2nd-order noncanonical neutral differential equation (a0t((ut+a1tug0t)′)β)′+a2tuβg1t=0, where t≥t0, are established.
Awatif A. Hindi +4 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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