We deal with dynamic equations on time scales, where we characterize the positivity of a system. Uniform exponential stability of a system is determined by the spectrum of its matrix. We investigateâ€¦ (More)

In this paper, we establish a local stable manifold theorem near a hyperbolic equilibrium point for planar fractional differential equations. The construction of this stable manifold is based on theâ€¦ (More)

We establish the link between linear Lyapunov functions for positive switched systems and corresponding Collatz-Wielandt sets. This leads to an algorithm to compute a linear Lyapunov functionâ€¦ (More)

We provide a local saddle-node bifurcation result for quasiperiodically forced interval maps. As an application, we give a rigorous description of saddle-node bifurcations of 3-periodic graphs in theâ€¦ (More)

and Applied Analysis 3 where T is a given positive constant, aij : R â†’ R, i, j 1, . . . , d, are continuous functions and Ï„ij > 0 for i, j 1, . . . , d with i / j. Define r : max { Ï„ij : i, j 1, . .â€¦ (More)