Differential Landauer's principle

New Energetic Selection Principle in Differential Evolution

The Differential Evolution algorithm goes back to the class of Evolutionary Algorithms and inherits its philosophy and concept. Possessing only three control parameters (size of population, differentiation and recombination constants) Differential Evolution has promising characteristics of robustness and convergence. In this paper we introduce a new principle of Energetic Selection. It consists...

Fuzzy differential equations and the extension principle

We study the Cauchy problem for differential equations, considering its parameters and/or initial conditions given by fuzzy sets. These fuzzy differential equations are approached in two different ways: (a) by using a family of differential inclusions; and (b) the Zadeh extension principle for the solution of the model. We conclude that the solutions of the Cauchy problem obtained by both are t...

Averaging Principle for Differential Equations with Hysteresis

The goal of this paper is to extend the averaging technique to new classes of hysteresis operators and oscillating functions as well as to bring more consistency into the exposition. In the first part of the paper, making accent on polyhedral vector sweeping processes, we keep in mind possible applications to the queueing theory where these processes arise naturally. In the second part we conce...

A Terminal Comparison Principle for Differential Inequalities

Monomiality Principle and Eigenfunctions of Differential Operators