Differential Equations in Abstract Cones
We extend the method of quasilinearization to differential equations in abstract normal cones. Under some assumptions, corresponding monotone iterations converge to the unique solution of our problem and this convergence is superlinear or semi–superlinear
Differential equations with several deviating arguments: Sturmian comparison method in oscillation theory. II.
Differential inequalities for one component of solution vector for systems of linear functional differential equations.
Dimensional reduction of nonlinear time delay systems.
Dirichlet boundary value problems of nonlinear functional difference equations with Jacobi operators.
Dirichlet Green functions for parabolic operators with singular lower-order terms.
Disconjugacy and multipoint boundary value problems for linear differential equations with delay
Discontinuous solutions of neutral functional differential equations.
The fundamental theory of existence, uniqueness and continuous differentiability of Lp-solutions for Neutral Functional Differential Equations is presented. Also, the spectrum of the solution operator of general autonomous linear NFDEs is described. Finally, an extension of Hartman Grobman Theorem on local conjugacy near a hyperbolic equilibrium is proved.
Dissipativity of neural networks with continuously distributed delays.
Distributed delayed competing predators
Distributional and entire solutions of linear functional differential equations.
Distributional and entire solutions of ordinary differential and functional differential equations.
Drive network to a desired orbit by pinning control
The primary objective of the present paper is to develop an approach for analyzing pinning synchronization stability in a complex delayed dynamical network with directed coupling. Some simple yet generic criteria for pinning such coupled network are derived analytically. Compared with some existing works, the primary contribution is that the synchronization manifold could be chosen as a weighted average of all the nodes states in the network for the sake of practical control tactics, which displays...
Dynamic analysis of an impulsive differential equation with time-varying delays
An impulsive differential equation with time varying delay is proposed in this paper. By using some analysis techniques with combination of coincidence degree theory, sufficient conditions for the permanence, the existence and global attractivity of positive periodic solution are established. The results of this paper improve and generalize some previously known results.
Dynamical analysis of a delayed predator-prey system with birth pulse and impulsive harvesting at different moments.
Dynamics for a discrete competition and cooperation model of two enterprises with multiple delays and feedback controls
This paper is concerned with a competition and cooperation model of two enterprises with multiple delays and feedback controls. With the aid of the difference inequality theory, we have obtained some sufficient conditions which guarantee the permanence of the model. Under a suitable condition, we prove that the system has global stable periodic solution. The paper ends with brief conclusions.
Dynamics in a discrete predator-prey system with infected prey
In this paper, a discrete version of continuous non-autonomous predator-prey model with infected prey is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and the method of Lyapunov function, some sufficient conditions for the existence and global asymptotical stability of positive periodic solution of difference equations in consideration are established. An example shows the feasibility of the main results.
Dynamics of a two sex population with gestation period
We investigate a mathematical model of population dynamics for a population of two sexes (male and female) in which new individuals are conceived in a process of mating between individuals of opposed sexes and their appearance is postponed by a period of gestation. The model is a system of two partial differential equations with delay which are additionally coupled by mathematically complicated boundary conditions. We show that this model has a global solution. We also analyze stationary ('permanent')...
Dynamics of Cohen-Grossberg neural networks with mixed delays and impulses.