Results 11 to 20 of about 75,377 (262)
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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Existence of solutions for quasilinear random impulsive neutral differential evolution equation
Arab Journal of Mathematical Sciences, 2018 This paper deals with the existence of solutions for quasilinear random impulsive neutral functional differential evolution equation in Banach spaces and the results are derived by using the analytic semigroup theory, fractional powers of operators and ...
B. Radhakrishnan, M. Tamilarasi
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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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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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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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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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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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Approximation scheme of higher accuracy of differential equations of neutral type
Karpatsʹkì Matematičnì Publìkacìï, 2013 The properties of solution of initial problem for differential-dierence equation of neutral type were researched. An approximate estimate of element delay was specied by scheme ofhigher accuracy.
S. A. Pernay, I. M. Cherevko
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