A nonlinear differential equation with delay serving as a mathematical model of several applied problmes is considered. Sufficient conditions for the global asymptotic stability and for the existence of periodic solutions are given. Two particular applications are treated in detail. The first one is a blood cell production model by Mackey, for which new periodicity criteria are derived. The second application is a modified economic model with delay due to Ramsay. An optimization problem for a maximal consumption is stated and solved for the latter
onsider the delay differential equation with a forcing term [formula] (*) where ƒ (t, x) : [0,...
We consider periodic solutions which bifurcate from equilibria in simple population models which inc...
We prove the existence of an asymptotically stable periodic solution of a system of delay differenti...
A nonlinear differential equation with delay serving as a mathematical model of several applied pro...
An essentially nonlinear dierential equation with delay serving as a mathematical model of several a...
Abstract A class of scalar nonlinear difference equations with delay is considered. Sufficient condi...
An essentially nonlinear difference equation with delay serving as a mathematical model of several a...
A class of two-dimensional differential systems with delay and overall negative feedback is consider...
A global existence theorem is given for the periodic solutions of a class of scalar delay-differenti...
AbstractA set of sufficient conditions for the global stability of the positive equilibrium is estab...
The main purpose of this paper is to study the periodicity and global asymptotic stability of a gene...
AbstractWe study a differential equation for delayed negative feedback which models a situation wher...
Several aspects of global dynamics and the existence of periodic solutions are studied for the scala...
Using the method of averaging we analyze periodic solutions to delay-differential equations, where t...
AbstractWe obtain sufficient conditions under which every solution of the nonlinear delay differenti...
onsider the delay differential equation with a forcing term [formula] (*) where ƒ (t, x) : [0,...
We consider periodic solutions which bifurcate from equilibria in simple population models which inc...
We prove the existence of an asymptotically stable periodic solution of a system of delay differenti...
A nonlinear differential equation with delay serving as a mathematical model of several applied pro...
An essentially nonlinear dierential equation with delay serving as a mathematical model of several a...
Abstract A class of scalar nonlinear difference equations with delay is considered. Sufficient condi...
An essentially nonlinear difference equation with delay serving as a mathematical model of several a...
A class of two-dimensional differential systems with delay and overall negative feedback is consider...
A global existence theorem is given for the periodic solutions of a class of scalar delay-differenti...
AbstractA set of sufficient conditions for the global stability of the positive equilibrium is estab...
The main purpose of this paper is to study the periodicity and global asymptotic stability of a gene...
AbstractWe study a differential equation for delayed negative feedback which models a situation wher...
Several aspects of global dynamics and the existence of periodic solutions are studied for the scala...
Using the method of averaging we analyze periodic solutions to delay-differential equations, where t...
AbstractWe obtain sufficient conditions under which every solution of the nonlinear delay differenti...
onsider the delay differential equation with a forcing term [formula] (*) where ƒ (t, x) : [0,...
We consider periodic solutions which bifurcate from equilibria in simple population models which inc...
We prove the existence of an asymptotically stable periodic solution of a system of delay differenti...