Asymptotic stability of a neutral integro-differential equation [PDF]
Opuscula Mathematica, 2006 The global stability behavior of a non-autonomous neutral functional integro-differential equation is studied. A sufficient condition for every solution of this equation to tend to zero is given.
Gen-qiang Wang, Sui Sun Cheng
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A k-Dimensional System of Fractional Neutral Functional Differential Equations with Bounded Delay [PDF]
Abstract and Applied Analysis, 2014 In 2010, Agarwal et al. studied the existence of a one-dimensional fractional neutral functional differential equation. In this paper, we study an initial value problem for a class of k-dimensional systems of fractional neutral functional differential ...
Dumitru Baleanu +2 more
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Approximate controllability of neutral functional differential system with unbounded delay [PDF]
International Journal of Mathematics and Mathematical Sciences, 2001 We consider a class of control systems governed by the neutral functional differential equation with unbounded delay and study the approximate controllability of the system. An example is given to illustrate the result.
Jong Yeoul Park, Sang Nam Kang
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On a functional-differential equation of neutral type [PDF]
Journal of Mathematical Analysis and Applications, 1971 In recent years much work has been done on functional-differential equations. The excellent texts of Bellman & Cooke [l] and Halanay [5], besides others, bear testimony to it. These equations were classified into three main categories (cf. Bellman & Cooke El]), th a is, equations with delay, of neutral t type and of advanced arguments. The last two are
Das, P.C, Parhi, N
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Optimal Control for Functional-Differential Equation of Neutral Type in BanachТ‘Т‘ Spaces [PDF]
Journal of Optimization, Differential Equations and Their ApplicationsThis paper examines an optimal control problem for a class of neutral-type functional-differential equations in Banach spaces, where the control objective relates to the boundary of the domain. Sufficient conditions on the coefficients are established to
O. V. Perehuda +3 more
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On the Existence and Stability of Periodic Solutions for a Nonlinear Neutral Functional Differential Equation [PDF]
Abstract and Applied Analysis, 2013 This paper deals with the existence and stability of periodic solutions for the following nonlinear neutral functional differential equation (d/dt)Dut=p(t)-au(t)-aqu(t-r)-h(u(t),u(t-r)). By using Schauder-fixed-point theorem and Krasnoselskii-fixed-point
Yueding Yuan, Zhiming Guo
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Periodic solutions for a second order nonlinear neutral functional differential equation with variable delay [PDF]
Le Matematiche, 2014 In this paper we study the existence of periodic solutions of the second order nonlinear neutral differential equation with functional delay. We invert the given equation to obtain an integral, but equivalent, equation from which we define a fixed point ...
Abdelouaheb Ardjouni, Ahcene Djoudi
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Oscillatory behavior of higher order neutral differential equation with multiple functional delays under derivative operator [PDF]
, 2022 summary:In this article, we obtain sufficient conditions so that every solution of neutral delay differential equation \[ \big (y(t)- \sum _{i=1}^k p_i(t) y(r_i(t))\big )^{(n)}+ v(t)G( y(g(t)))-u(t)H(y(h(t))) = f(t) \] oscillates or tends to zero as $t ...
Rath, R.N., Rath, S.K., Panda, K.C.
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Periodic solutions for neutral nonlinear differential equations with functional delay [PDF]
Electronic Journal of Differential Equations, 2003 We use Krasnoselskii's fixed point theorem to show that the nonlinear neutral differential equation with functional delay $$ x'(t) = -a(t)x(t)+ c(t)x'(t-g(t))+ q(t, x(t), x(t-g(t)) $$ has a periodic solution.
Youssef N. Raffoul
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Oscillatory behaviour of a higher order nonlinear neutral delay type functional differential equation with oscillating coefficients [PDF]
, 2005 summary:In this paper we are concerned with the oscillation of solutions of a certain more general higher order nonlinear neutral type functional differential equation with oscillating coefficients.
Akin, Ömer, Bolat, Yaşar
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