A Global Convergence Result with Applications to Periodic Solutions

A Global Convergence Result for a Higher Order Difference Equation

Let f (z1, . . . ,zk)∈ C(Ik,I) be a given function, where I is (bounded or unbounded) subinterval of R, and k ∈ N. Assume that f (y1, y2, . . . , yk) ≥ f (y2, . . . , yk, y1) if y1 ≥ max{y2, . . . , yk}, f (y1, y2, . . . , yk) ≤ f (y2, . . . , yk, y1) if y1 ≤ min{y2, . . . , yk}, and f is nondecreasing in the last variable zk. We then prove that every bounded solution of an autonomous differenc...

A global convergence result for processive multisite phosphorylation systems.

Multisite phosphorylation plays an important role in intracellular signaling. There has been much recent work aimed at understanding the dynamics of such systems when the phosphorylation/dephosphorylation mechanism is distributive, that is, when the binding of a substrate and an enzyme molecule results in the addition or removal of a single phosphate group and repeated binding therefore is requ...

A Convergence Result for Asynchronous Algorithms and Applications

We give in this paper a convergence result concerning parallel asynchronous algorithm with bounded delays to solve a nonlinear fixed point problems. This result is applied to calculate the solution of a strongly monotone operator. Special cases of these operators are used to solve some problems related to convex analysis like minimization of functionals, calculus of saddle point and variational...

New Result on the Existence of Positive Periodic Solutions to Neutral Population Model with Multiple Delays

Convergence to time-periodic solutions in time-periodic Hamilton-Jacobi equations on the circle

. The goal of this paper is to give a simple proof of the convergence to timeperiodic states of the solutions of time-periodic Hamilton-Jacobi equations on the circle with convex Hamiltonian. Note that the period of limiting solutions may be greater than the period of the Hamiltonian. Resumé. . On donne une preuve simple de la convergence vers des états périodiques en temps pour les solutions d...