Convergence and periodicity in a delayed network of neurons with threshold nonlinearity.
Convergence behaviour of solutions to delay cellular neural networks with non-periodic coefficients.
Convergence for hyperbolic singular perturbation of integrodifferential equations.
Convergence of Cohen-Grossberg neural networks with delays and time-varying coefficients.
Convergence of Multistep Methods for Volterra Functional Differential Equations.
Convergence of numerical methods for systems of neutral functional-differential-algebraic equations
A general class of numerical methods for solving initial value problems for neutral functional-differential-algebraic systems is considered. Necessary and sufficient conditions under which these methods are consistent with the problem are established. The order of consistency is discussed. A convergence theorem for a general class of methods is proved.
Convergence tests for one scalar differential equation with vanishing delay
Convergence to equilibria in a differential equation with small delay
Consider the delay differential equation where is a constant and is Lipschitzian. It is shown that if is small, then the solutions of (1) have the same convergence properties as the solutions of the ordinary differential equation obtained from (1) by ignoring the delay.
Convergence to equilibria in a differential equation with small delay
Coordinate description of analytic relations
In this paper we present an algebraic approach that describes the structure of analytic objects in a unified manner in the case when their transformations satisfy certain conditions of categorical character. We demonstrate this approach on examples of functional, differential, and functional differential equations.
Correction : “On two transfer principles in stochastic differential geometry”
Corrections to "Bifurcation from a saddle connection in functional differential equations: An approach with inclination lemmas" (Dissertationes Math. 291 (1990))
Criteria for oscillation of solutions of two-dimensional differential systems with deviating arguments.
Damped second order linear differential equation with deviating arguments: sharp results in oscillation properties.
Das Wachstum ganzer Lösungen gewisser linearer Funktional-Differentialgleichungen.
Data dependence for some integral equation via weakly Picard operators.
Decaying trajectories in sublinear retarded equations of arbitrary order
Decentralized robust tracking control of uncertain large scale systems with multiple delays in the interconnections
The problem of the decentralized robust tracking and model following is considered for a class of uncertain large scale systems including time-varying delays in the interconnections. On the basis of the Razumikhin-type theorem and the Lyapunov stability theory, a class of decentralized memoryless local state feedback controllers is proposed for robust tracking of dynamical signals. It is shown that by employing the proposed decentralized robust tracking controllers, one can guarantee that the tracking...
Dégénérescence des systèmes discrets et application à un problème de commande
Delay differential systems with discontinuous initial data and existence and uniqueness theorems for systems with impulse and delay.