Asymptotic behavior of solutions of nonautonomous neutral dynamical systems

Periodic Solutions of Second-order Nonautonomous Dynamical Systems

Global Asymptotic Stability of Solutions of Nonautonomous Master Equations

We wish to generalize van Kampen’s theorem to include nonautonomous master equations. Such a theorem is important in applications, e.g. in ion channel kinetics, where subunit opening and closing rates are subject to external forces (e.g. membrane voltage) and are therefore often unavoidably nonautonomous. There are two issues to consider when moving to the nonautonomous case. The first is that,...

Topological Pressure of Nonautonomous Dynamical Systems ⋆

We define and study topological pressure for the non-autonomous discrete dynamical systems given by a sequence {fi} ∞ i=1 of continuous self-maps of a compact metric space. In this paper, we obtain the basic properties and the invariant with respect to equiconjugacy of topological pressure for the nonautonomous discrete dynamical systems.

Boundedness of Solutions of a Nonlinear Nonautonomous Neutral Delay Equation

Sufficient conditions are obtained for the boundedness of solutions of the non-linear nonautonomous neutral equation i(t)=r(f)x(t)(a(f)-.x(t-1)-c(/).?(t-1)), which arise in a " food-limited " population model. This partially answers a recent open question proposed The nonlinear neutral delay logistic equation was first introduced and extensively discussed in [6], dx(t)-=i(t)=rx(t)(l-(x(t-)+ci(t...

Asymptotic Properties of Solutions of Nonautonomous Difference Equations

Asymptotic properties of solutions of difference equation of the form ∆xn = anφn(xσ(n)) + bn are studied. Conditions under which every (every bounded) solution of the equation ∆yn = bn is asymptotically equivalent to some solution of the above equation are obtained. Moreover, the conditions under which every polynomial sequence of degree less than m is asymptotically equivalent to some solution...