Comparison theorems for deviated differential equations with property .
Comparison theorems for differential equations of neutral type
We are interested in comparing the oscillatory and asymptotic properties of the equations with those of the equations
Comparison theorems for differential equations with deviating argument
Comparison Theorems for first Order Nonlinear Functional Differebtial Equations
Comparison theorems for functional differential equations
In this paper the oscillatory and asymptotic properties of the solutions of the functional differential equation are compared with those of the functional differential equation .
Comparison theorems for second-order neutral differential equations of mixed type.
Comparison theorems for the third order trinomial differential equations with delay argument
In this paper we study asymptotic properties of the third order trinomial delay differential equation by transforming this equation to the binomial canonical equation. The results obtained essentially improve known results in the literature. On the other hand, the set of comparison principles obtained permits to extend immediately asymptotic criteria from ordinary to delay equations.
Comparison theorems for the third-order delay trinomial differential equations.
Complete classification and stability of equilibria in a delayed ring network.
Conditions for oscillation of a neutral differential equation.
Conditions for the absence of positive solutions of a first order differential inequality with a single delay
A sufficient integral condition for the absence of eventually positive solutions of a first order stable type differential inequality with one nondecreasing retarded argument is given. In the special case of equality the result becomes an oscillation criterion.
Connections between Morse sets for delay-differential equations.
Consensus of a two-agent system with nonlinear dynamics and time-varying delay
To explore the impacts of time delay on nonlinear dynamics of consensus models, we incorporate time-varying delay into a two-agent system to study its long-time behaviors. By the classical 3/2 stability theory, we establish a sufficient condition for the system to experience unconditional consensus. Numerical examples show the effectiveness of the proposed protocols and present possible Hopf bifurcations when the time delay changes.
Construction of Lyapunov functionals for linear Volterra integrodifferential equations and stability of delay systems.
Construction of the general solution of planar linear discrete systems with constant coefficients and weak delay.
Constructive solution of coupled second order delay differential equations with variable coefficients.
Continuous dependence and differentiability of solutions with respect to initial data and right-hand side for differential equations with deviating argument.
Continuous dependence of the solution to a class of neutral differential equations on the initial data and on the right-hand side.
Continuous transformations of differential equations with delays.
Continuous -methods for the stochastic pantograph equation.