Non-oscillatory behaviour of higher order functional differential equations of neutral type.
Nonoscillatory solutions for higher-order neutral dynamic equations on time scales.
Null controllability of nonlinear infinite neutral system
Numerical stability test of neutral delay differential equations.
On a class of first order nonlinear functional differential equations of neutral type
On a class of third order neutral delay differential equations with piecewise constant argument.
On approximation of the solutions of delay differential equations by using piecewise constant arguments.
On delay-dependent robust stability under model transformation of some neutral systems
This paper focuses on the delay-dependent robust stability of linear neutral delay systems. The systems under consideration are described by functional differential equations, with norm bounded time varying nonlinear uncertainties in the "state" and norm bounded time varying quasi-linear uncertainties in the delayed "state" and in the difference operator. The stability analysis is performed via the Lyapunov-Krasovskii functional approach. Sufficient delay dependent conditions for robust stability...
On delay-dependent stability for neutral delay-differential systems
This paper deals with the stability problem for a class of linear neutral delay-differential systems. The time delay is assumed constant and known. Delay-dependent criteria are derived. The criteria are given in the form of linear matrix inequalities which are easy to use when checking the stability of the systems considered. Numerical examples indicate significant improvements over some existing results.
On existence of solutions of a neutral differential equation with deviation argument.
On forced first order neutral differential equations with positive and negative coefficients
On oscillation and asymptotic behaviour of a neutral differential equation of first order with positive and negative coefficients.
On oscillation of differential systems of neutral type
We study oscillatory properties of solutions of the systems of differential equations of neutral type.
On oscillation of solutions of forced nonlinear neutral differential equations of higher order II
Sufficient conditions are obtained so that every solution of where n ≥ 2, p,f ∈ C([0,∞),ℝ), Q ∈ C([0,∞),[0,∞)), G ∈ C(ℝ,ℝ), τ > 0 and σ ≥ 0, oscillates or tends to zero as . Various ranges of p(t) are considered. In order to accommodate sublinear cases, it is assumed that . Through examples it is shown that if the condition on Q is weakened, then there are sublinear equations whose solutions tend to ±∞ as t → ∞.
On oscillation of solutions of forced nonlinear neutral differential equations of higher order
In this paper, necessary and sufficient conditions are obtained for every bounded solution of to oscillate or tend to zero as for different ranges of . It is shown, under some stronger conditions, that every solution of oscillates or tends to zero as . Our results hold for linear, a class of superlinear and other nonlinear equations and answer a conjecture by Ladas and Sficas, Austral. Math. Soc. Ser. B 27 (1986), 502–511, and generalize some known results.
On oscillatory fourth order nonlinear neutral differential equations. II.
On oscillatory fourth order nonlinear neutral differential equations. I.
On periodic linear neutral delay differential and difference equations.
On robust stability of neutral systems
This paper focuses on the problem of uniform asymptotic stability of a class of linear neutral systems including some constant delays and time-varying cone-bounded nonlinearities. Sufficient stability conditions are derived by taking into account the weighting factors describing the nonlinearities. The proposed results are applied to the stability analysis of a class of lossless transmission line models.
On some topological methods in theory of neutral type operator differential inclusions with applications to control systems
We consider a neutral type operator differential inclusion and apply the topological degree theory for condensing multivalued maps to justify the question of existence of its periodic solution. By using the averaging method, we apply the abstract result to an inclusion with a small parameter. As example, we consider a delay control system with the distributed control.