Results 11 to 20 of about 79,942 (257)
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.
Weiping Yan, Jurang Yan
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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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Oscillations for Neutral Functional Differential Equations [PDF]
The Scientific World Journal, 2014 We will consider a class of neutral functional differential equations. Some infinite integral conditions for the oscillation of all solutions are derived. Our results extend and improve some of the previous results in the literature.
Fatima N. Ahmed +3 more
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On the oscillation of neutral differential equations
Journal of Mathematical Analysis and Applications, 1992 Using the method of the Laplace transform it is shown that all solutions of the neutral differential equation \[ {d\over dt}\left[x(t)+\delta\int^{\tau_ 2}_{\tau_ 1}x(t+s)d\mu(s)\right]+\int^{\sigma_ 2}_ {\sigma_ 1}x(t+s)d\eta(s)=0 \] are oscillatory if and only if the characteristic equation \[ \lambda\left[1+\delta\int^{\tau_ 2}_{\tau_ 1}e^{\lambda s}
Philos, C. G., Sficas, Y. G.
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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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Nonoscillation of a class of neutral differential equations
Computers & Mathematics with Applications, 2002 This paper deals with \(n\)th-order neutral differential equations of the form \[ (x(t)-x(t-\tau))^{(n)}+p(t)x(t-\sigma)=0, \] where \(n\) is an odd number, \(\tau>0, \sigma\in \mathbb{R}\), \(p\in C([0, \infty), [0, \infty))\). The authors establish a complete classification of nonoscillatory solutions of the equation and find conditions for each type
Kong, Qingkai +2 more
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Attractivity for neutral functional differential equations
Discrete and Continuous Dynamical Systems - B, 2013 We study the long term dynamics of non-autonomous functional di fferential equations. Namely, we establish existence results on pullback attractors for non-linear neutral functional di erential equations with time varying delays. The two main results di er in smoothness properties of delay functions.
Caraballo Garrido, Tomás, Kiss, Gábor
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Impulsive partial neutral differential equations
Applied Mathematics Letters, 2006 The authors establish conditions for the existence of mild and strong solutions of a partial neutral functional-differential equation with unbounded delay of the form \[ (d/dt)(x(t)+F(t, x_t)) = Ax(t)+G(t, x_t) \] subject to pre-assigned moments of impulse effects.
Eduardo Hernández Morales +1 more
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Periodic solutions of a neutral impulsive differential equation
上海师范大学学报. 自然科学版, 2017 In this paper, we consider a neutral impulsive differential equation. An impulsive predatorprey model with non-monotonic functional response is investigated. Some novel sufficient conditions are obtained for the nonexistence of periodic solutions and the
Hu Mi, Xia Yonghui
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