Displaying similar documents to “On the Neumann operator of the arithmetical mean.”

Impulsive stabilization of high-order nonlinear retarded differential equations

Juan Liu, Xiaodi Li (2013)

Applications of Mathematics

Similarity:

In this paper, impulsive stabilization of high-order nonlinear retarded differential equations is investigated by using Lyapunov functions and some analysis methods. Our results show that several non-impulsive unstable systems can be stabilized by imposition of impulsive controls. Some recent results are extended and improved. An example is given to demonstrate the effectiveness of the proposed control and stabilization methods.

The monotone iterative technique for periodic boundary value problems of second order impulsive differential equations

Eduardo Liz, Juan J. Nieto (1993)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

In this paper, we develop monotone iterative technique to obtain the extremal solutions of a second order periodic boundary value problem (PBVP) with impulsive effects. We present a maximum principle for ``impulsive functions'' and then we use it to develop the monotone iterative method. Finally, we consider the monotone iterates as orbits of a (discrete) dynamical system.