This paper establishes the conditions for existence, uniqueness, and exponentially asymptotically stability of periodic orbits of a dynamical system defined by a set of ordinary differential equations with discontinuous righthand side. Moreover, a formula for the basin of attraction is provided. These results equip economists with a set of tools, which will allow them to generate new analytic results
Autonomous difference equations of the form xn+1 = ƒ (xn) may model populations of species with nono...
AbstractElaydi and Yakubu showed that a globally asymptotically stable(GAS) periodic orbit in an aut...
We consider a singularly perturbed parabolic differential equation in case that the degenerate equat...
This paper considers an application of a local theory of exponentially asymptotically stability of n...
AbstractWe consider the general nonlinear differential equation x˙=f(x) with x∈R2 and develop a meth...
This paper considers a dynamical system defined by a set of ordinary auto- nomous differential equat...
AbstractWe study the behavior of solutions, near equilibria and periodic orbits, for systems of o.d....
AbstractFor some periodic differential systems the sufficient conditions of a representation of the ...
Elaydi and Yakubu showed that a globally asymptotically stable(GAS) periodic orbit in an autonomous ...
We study three properties associated to the recurrence of orbits in flows: asymptotic periodicity, p...
We consider a general system of ordinary differential equations (x) over dot = f (t, x), where x is ...
We consider a general nonsmooth ordinary differential equation x over dot = f(t, X), where x is an e...
We discuss the dynamics of general linear functional differential equations with solutions that exhi...
Numerical methods to determine the basin of attraction for autonomous equations focus on a bounded s...
AbstractIn this work we obtain sufficient conditions for the exponential stability of equilibrium po...
Autonomous difference equations of the form xn+1 = ƒ (xn) may model populations of species with nono...
AbstractElaydi and Yakubu showed that a globally asymptotically stable(GAS) periodic orbit in an aut...
We consider a singularly perturbed parabolic differential equation in case that the degenerate equat...
This paper considers an application of a local theory of exponentially asymptotically stability of n...
AbstractWe consider the general nonlinear differential equation x˙=f(x) with x∈R2 and develop a meth...
This paper considers a dynamical system defined by a set of ordinary auto- nomous differential equat...
AbstractWe study the behavior of solutions, near equilibria and periodic orbits, for systems of o.d....
AbstractFor some periodic differential systems the sufficient conditions of a representation of the ...
Elaydi and Yakubu showed that a globally asymptotically stable(GAS) periodic orbit in an autonomous ...
We study three properties associated to the recurrence of orbits in flows: asymptotic periodicity, p...
We consider a general system of ordinary differential equations (x) over dot = f (t, x), where x is ...
We consider a general nonsmooth ordinary differential equation x over dot = f(t, X), where x is an e...
We discuss the dynamics of general linear functional differential equations with solutions that exhi...
Numerical methods to determine the basin of attraction for autonomous equations focus on a bounded s...
AbstractIn this work we obtain sufficient conditions for the exponential stability of equilibrium po...
Autonomous difference equations of the form xn+1 = ƒ (xn) may model populations of species with nono...
AbstractElaydi and Yakubu showed that a globally asymptotically stable(GAS) periodic orbit in an aut...
We consider a singularly perturbed parabolic differential equation in case that the degenerate equat...