On the asymptotic behavior of solutions of the second-order linear differential equation
On the asymptotic behavior of the one-sided Green's function for a differential operator near a singularity
On the asymptotic stability of solutions of functional-differential equations
On the boundedness and oscillation of solutions to .
On the boundedness and the stability results for the solutions of certain third order non-linear differential equations
On the convergence of solutions of certain third-order differential equations.
On the decay rate of solutions of non-autonomous differential systems.
On the Dynamics of a Two-Strain Influenza Model with Isolation
Influenza has been responsible for human suffering and economic burden worldwide. Isolation is one of the most effective means to control the disease spread. In this work, we incorporate isolation into a two-strain model of influenza. We find that whether strains of influenza die out or coexist, or only one of them persists, it depends on the basic reproductive number of each influenza strain, cross-immunity between strains, and isolation rate. We propose criteria that may be useful for controlling...
On the Dynamics of an Impulsive Model of Hematopoiesis
We propose and analyze a nonlinear mathematical model of hematopoiesis, describing the dynamics of stem cell population subject to impulsive perturbations. This is a system of two age-structured partial differential equations with impulses. By integrating these equations over the age, we obtain a system of two nonlinear impulsive differential equations with several discrete delays. This system describes the evolution of the total hematopoietic stem cell populations with impulses. We first examine...
On the existence of almost periodic Lyapunov functions for impulsive differential equations.
On the existence of oscillatory solutions in the Weisbuch-Salomon-Atlan model for the Belousov-Zhabotinskij reaction
The stability properties of solutions of the differential system which represents the considered model for the Belousov - Zhabotinskij reaction are studied in this paper. The existence of oscillatory solutions of this system is proved and a theorem on separation of zero-points of the components of such solutions is established. It is also shown that there exists a periodic solution.
On the global asymptotic stability problem and the Jacobian conjecture
On the instability of certain sixth-order nonlinear differential equations.
On the instability of linear nonautonomous delay systems
The unstable properties of the linear nonautonomous delay system , with nonconstant delay , are studied. It is assumed that the linear system is unstable, the instability being characterized by a nonstable manifold defined from a dichotomy to this linear system. The delay is assumed to be continuous and bounded. Two kinds of results are given, those concerning conditions that do not include the properties of the delay function and the results depending on the asymptotic properties of the...
On the links between limit characteristic zeros and stability properties of linear time-invariant systems with point delays and their delay-free counterparts.
On the oscillation of impulsively damped halflinear oscillators.
On the sign definiteness of Lyapunov functionals and stability of linear delay equations.
On the stability of a fractional-order differential equation with nonlocal initial condition.
On the stability of second order differential equations
On the stability of solutions of linear differential systems with slowly varying coefficients