This paper introduces the problem of solving ordinary differential equations with extra linear conditions written in terms of ranges, and deals with the corresponding existence and uniqueness problems. Some methods for analyzing the existence of solutions and obtaining the set of all solutions, based on the theory of cones and polyhedra, are given. These solutions are found by first converting ...

Migration is a fundamental trait in humans and animals. Recent studies investigated the effect of migration on the evolution of cooperation, showing that contingent migration favors cooperation in spatial structures. In those studies, only local migration to immediate neighbors was considered, while long-range migration has not been considered yet, partly because the long-range migration has be...

Recent measurements of various types of network traffic have shown evidence consistent with long-range dependence and self-similarity. However, an alternative explanation for these measurements is non-stationarity. Standard estimators of LRD parameters such as the Hurst parameter H assume stationarity and are susceptible to bias when this assumption does not hold. Hence LRD may be indicated by ...

Periodic boundary conditions are applied to a ferromagnetic spin lattice. A symmetrical lattice and its contributions all over space are being used. Results, for the Ising model with ferromagnetic interaction that decays as a 1/r law, are discussed in the mean field approximation.

In aerodynamic design, good performance is generally required under a range of operating conditions, including off-design conditions. This can be achieved throughmultipoint optimization. The desired performance objective and operating conditions must be specified, and the resulting optimization problemmust be solved in such amanner that the desired performance is achieved. Issues involved in fo...