Results 11 to 20 of about 45,401 (204)
Oscillatory Solutions to Neutral Delay Differential Equations
Mathematics, 2021 This article aims to mark out new conditions for oscillation of the even-order Emden–Fowler neutral delay differential equations with neutral term β1ıΦα[ζr−1ı]′+β3ıΦα[ςξı]=0.
Fahad Alsharari +4 more
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Neutral Operator and Neutral Differential Equation [PDF]
Abstract and Applied Analysis, 2011 In this paper, we discuss the properties of the neutral operator (Ax)(t) = x(t) − cx(t − δ(t)), and by applying coincidence degree theory and fixed point index theory, we obtain sufficient conditions for the existence, multiplicity, and nonexistence of (positive) periodic solutions to two kinds of second‐order differential equations with the prescribed
Jingli Ren, Zhibo Cheng, Stefan Siegmund
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Neutral set differential equations [PDF]
Czechoslovak Mathematical Journal, 2015 The aim of this paper is to establish an existence and uniqueness result for a class of the set functional differential equations of neutral type {DHX(t)= F(t,Xt,DHXt), where F: [0, b] x Co x 4-) K(E) is a given function, K(E) is the family of all nonempty compact and convex subsets of a separable Banach space E, Co denotes the space of all continuous ...
Abbas, Umber +3 more
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Conditions for Oscillation of a Neutral Differential Equation [PDF]
International Journal of Differential Equations, 2010 For a neutral differential equation with positive and changeable sign coefficients [x(t)−a(t)x(δ(t))]′ + p(t)F(x(τ(t))) − q(t)G(x(σ(t))) = 0, oscillation criteria are established, where q(t) is not required as nonnegative. Several new results are obtained.
Yan, Weiping, Yan, Jurang
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Oscillatory and asymptotic behavior of a third-order nonlinear neutral differential equation [PDF]
Opuscula Mathematica, 2017 This paper discusses oscillatory and asymptotic properties of solutions of a class of third-order nonlinear neutral differential equations. Some new sufficient conditions for a solution of the equation to be either oscillatory or to converges to zero are
John R. Graef +2 more
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Analysis of stochastic neutral fractional functional differential equations
Boundary Value Problems, 2022 This work deals with the large deviation principle which studies the decay of probabilities of certain kind of extremely rare events. We consider stochastic neutral fractional functional differential equation with multiplicative noise and show large ...
Alagesan Siva Ranjani +3 more
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Journal of Inequalities and Applications, 2010 This paper is devoted to generalize Halanay's inequality which plays an important rule in study of stability of differential equations. By applying the generalized Halanay inequality, the stability results of nonlinear neutral functional differential
Wansheng Wang
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Oscillations of First Order Neutral Differential Equations with Positive and Negative Coefficients
مجلة بغداد للعلوم, 2014 Oscillation criterion is investigated for all solutions of the first-order linear neutral differential equations with positive and negative coefficients.
Baghdad Science Journal
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An Asymptotic Result for neutral differential equations [PDF]
Applied Mathematics and Nonlinear Sciences, 2020 Abstract We obtain asymptotic result for the solutions of neutral differential equations. Our technique depends on characteristic equations.
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ASYMPTOTIC STABILITY OF A NEUTRAL DIFFERENTIAL EQUATION [PDF]
Proceedings of the Edinburgh Mathematical Society, 2002 AbstractThe uniform stability of the zero solution and the asymptotic behaviour of all solutions of the neutral delay differential equation$$ [x(t)-P(t)x(t-\tau)]'+Q(t)x(t-\sigma)=0,\quad t\ge t_0, $$are investigated, where $\tau,\sigma\in(0,\infty)$, $P\in C([t_0,\infty),\mathbb{R})$, and $Q\in C([t_0,\infty), [0,\infty))$.
Tang, X. H., Zou, Xingfu
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