Results 21 to 30 of about 11,948 (261)
Mathematics, 2021 The neutral delay differential equations have many applications in the natural sciences, technology, and population dynamics. In this paper, we establish several new oscillation criteria for a kind of even-order quasi-linear neutral delay differential ...
Rongrong Guo, Qingdao Huang, Qingmin Liu
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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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Oscillation of Solutions to Nonlinear Neutral Delay Differential Equations [PDF]
Journal of Applied Analysis, 2002 The authors consider nonlinear neutral delay differential equations with variable coefficients. Some new sufficient conditions for the oscillation of all solutions are obtained. The results extend and improve some of the well known results in the literature. Some examples are considered to illustrate the main results. The neutral logistic equation with
Saker, S. H., Kubiaczyk, I.
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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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Stability and boundedness of nonautonomous neutral differential equation with delay [PDF]
Mathematica Moravica, 2020 We consider the nonautonomous neutral differential equation with delay h p(t) q(t) x(t) + b1x(t - r1) 0 0i0 + a(t) x 00(t) + b2x 00(t - r2) +b(t) x 0 (t) + b3x 0 (t - r3) + c(t)f(x(t - s)) = e(t, x, x0 , x 00).
Remili Moussadek, Oudjedi Linda D.
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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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Axioms, 2020 In this work, we present some new sufficient conditions for the oscillation of a class of second-order neutral delay differential equation. Our oscillation results, complement, simplify and improve recent results on oscillation theory of this type of non-
Shyam Sundar Santra +2 more
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Ain Shams Engineering Journal, 2015 In this paper, we have presented a computational method for solving singularly perturbed delay differential equations with twin layers or oscillatory behaviour. In this method, the original second order singularly perturbed delay differential equation is
D. Kumara Swamy +3 more
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On the Stability Analysis of Systems of Neutral Delay Differential Equations [PDF]
Circuits, Systems, and Signal Processing, 2018 This paper focuses on the stability analysis of systems modeled as neutral delay differential equations (NDDEs). These systems include delays in both the state variables and their time derivatives. The proposed approach consists of a descriptor model transformation that constructs an equivalent set of delay differential algebraic equations (DDAEs) of ...
Liu, Muyang +2 more
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