Results 21 to 30 of about 881 (208)
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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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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First Order Nonlinear Neutral Delay Differential Equations
مجلة بغداد للعلوم, 2004 The author obtain results on the asymptotic behavior of the nonoscillatory solutions of first order nonlinear neutral differential equations. Keywords. Neutral differential equations, Oscillatory and Nonoscillatory solutions.
Baghdad Science Journal
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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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General Solution of Linear Fractional Neutral Differential Difference Equations
Discrete Dynamics in Nature and Society, 2013 This paper is concerned with the general solution of linear fractional neutral differential difference equations. The exponential estimates of the solution and the variation of constant formula for linear fractional neutral differential difference ...
Hai Zhang, Jinde Cao, Wei Jiang
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Periodic Averaging Principle for Neutral Stochastic Delay Differential Equations with Impulses
Complexity, 2020 In this paper, we study the periodic averaging principle for neutral stochastic delay differential equations with impulses under non-Lipschitz condition.
Peiguang Wang, Yan Xu
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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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Oscillations of Second-Order Neutral Impulsive Differential Equations
Journal of Inequalities and Applications, 2010 Necessary and sufficient conditions are established for oscillation of second-order neutral impulsive differential equation [y(t)+py(t-τ)]′′+qy(t-σ)=0, t≠tk, Δ(y′(tk)+py′(tk-τ))+q1y ...
Jin-Fa Cheng, Yu-Ming Chu
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A New Technique for Solving Neutral Delay Differential Equations Based on Euler Wavelets
Complexity, 2022 An effective numerical scheme based on Euler wavelets is proposed for numerically solving a class of neutral delay differential equations. The technique explores the numerical solution via Euler wavelet truncated series generated by a set of functions ...
Mutaz Mohammad, Alexander Trounev
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On the Oscillation of Impulsive Neutral First-order Differential Equations with Variable Arguments
Journal of Scientific Research in Science, 2022 Throughout the article, we study the oscillation of a general class of first-order neutral differential equations in presence of variable delays under the effect of impulses.
S. Euat Tallah +2 more
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