Results 31 to 40 of about 104,422 (284)
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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Axioms, 2023 In this work, in the noncanonical case, we find new properties for a class of positive solutions of fourth-order differential equations. These properties allow us to obtain iterative criteria that exclude positive decreasing solutions, and we then ...
Amany Nabih +3 more
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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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Oscillations of first-order neutral delay differential equations
Journal of Mathematical Analysis and Applications, 1986 Consider the neutral delay differential equation \[ (*)\quad (d/dt)[y(t)+py(t-\tau)]+qy(t-\sigma)=0,\quad t\geq t_ 0 \] where \(\tau\), q and \(\sigma\) are positive constants, while \(p\in (-\infty,-1)\cup (0,+\infty)\). Theorem 1. Assume \(p0\). Then every nonoscillatory solution y(t) of (*) tends to zero as \(t\to \infty\). Theorem 4. Assume \(p>0\).
Grammatikopoulos, M.K +2 more
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New Sufficient Conditions for Oscillation of Second-Order Neutral Delay Differential Equations
Axioms, 2021 In this work, new sufficient conditions for the oscillation of all solutions of the second-order neutral delay differential equations with the non-canonical operator are established.
Taher S. Hassan +4 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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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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Computers & Mathematics with Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Shifeng, Gan, Siqing
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A delay differential model of ENSO variability: Parametric instability and the distribution of extremes [PDF]
, 2007 We consider a delay differential equation (DDE) model for El-Nino Southern Oscillation (ENSO) variability. The model combines two key mechanisms that participate in ENSO dynamics: delayed negative feedback and seasonal forcing.
Ghil, Michael +2 more
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Positive Solutions for a Higher-Order Nonlinear Neutral Delay Differential Equation
Abstract and Applied Analysis, 2011 This paper deals with the higher-order nonlinear neutral delay differential equation (dn/dtn)[x(t)+∑i=1mpi(t)x(Ti(t))]+(dn−1/dtn−1)f(t,x(α1(t)),…,x(αk(t)))+h(t,x(β1(t)),…,x(βk(t)))=g(t), t≥to, where n,m,k∈ℕ, pi,τi,βj,g∈C([to,+∞),ℝ), αj∈Cn−1([to,+∞),ℝ), f∈
Zeqing Liu +3 more
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