Results 21 to 30 of about 3,100,158 (287)
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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Oscillation criteria for second order neutral differential equations [PDF]
, 1990 summary:Our aim in this paper is to present sufficient conditions for the oscillation of the second order neutral differential equation \big(x(t)-px(t-\tau)\big)"+q(t)x\big(\sigma(t)\big ...
Mihalíková, Božena +4 more
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Solutions of the neutral differential-difference equation αx′(t)+βx′(t−r)+γx(t)+δx(t−r)=f(t)
International Journal of Mathematics and Mathematical Sciences, 1992 Particular solutions and complementary functions are obtained for the functional equation αx′(t)+βx′(t−r)+γx(t)+δx(t−r)=f(t) in the forms of a convolution type integral and of infinite series.
Ll. G. Chambers
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Periodic solution for ϕ-Laplacian neutral differential equation
Open Mathematics, 2019 This paper is devoted to the existence of a periodic solution for ϕ-Laplacian neutral differential equation as follows (ϕ(x(t)−cx(t−τ))′)′=f(t,x(t),x′(t)).$$\begin{array}{} (\phi(x(t)-cx(t-\tau))')'=f(t,x(t),x'(t)). \end{array}$$
Yao Shaowen, Cheng Zhibo
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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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Communications in Advanced Mathematical Sciences, 2021 We have given some results regarding the behavior of solutions for first order linear impulsive neutral delay differential equations with constant coefficients.
Ali Fuat Yeniçerioğlu
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Almost surely asymptotic stability of neutral stochastic differential delay equations with Markovian switching [PDF]
, 2008 The main aim of this paper is to discuss the almost surely asymptotic stability of the neutral stochastic differential delay equations (NSDDEs) with Markovian switching.
Yuan, Chenggui +4 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2021 This paper examines the oscillatory behavior of solutions to a class of third-order differential equations with bounded and unbounded neutral coefficients. Sufficient conditions for all solutions to be oscillatory are given.
Ercan Tunç +3 more
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