with fixed initial data x(t = x where x is the n-dimensional o) o' state vector, u is the r-dimensional vector control function, A(t) , B(t) are the nxn, nxr matrix functions, respectively. A(t), B(t), are assumed to be piecewise continuous for t ~ to on any finite in­ terval. A control function u(t) is said to be admissible if it is measur­ able over any finite interval and takes its values fr...

The most general one dimensional reaction-diffusion model with nearestneighbor interactions solvable through the empty interval method, and without any restriction on the particle-generation from two adjacent empty sites is studied. It is shown that turning on the reactions which generate particles from two adjacent empty sites, results in a gap in the spectrum of the evolution operator (or equ...

In this paper we discuss a parallel variant of the interval Newton method for root finding of non linear continuously differentiable functions on the CUDA architecture. For this purpose we have investigated different dynamic load balancing methods to get an evenly balanced workload during the parallel computation. We tested the functionality, correctness and performance of our implementation in...

This paper provides a method for combining interval structures. This method consists of three steps: it rst uses the product space to represent the new evidence space, then composes the cylindrical extensions of the interval structures on subspaces respectively , and nally combines the cylindrical extensions on the same product space. On the other hand, in order to interpret the method for comb...

This article presents an extension of the Tabu Search (TS) metaheuristic to continuous CSPs, where the domains are represented by floating point-bounded intervals. This leads to redefine the usual TS operators to take into account the special features of interval constraints: real variables encoded in floating points domains, high cardinality of the domains, nature of the CSP where constraints ...

We consider the approximation of absolutely continuous invariant measures (ACIMs) of systems defined by random compositions of piecewise monotonic transformations. Convergence of Ulam’s finite approximation scheme in the case of a single transformation was dealt with by Li (1976 J. Approx. Theory 17 177–86). We extend Ulam’s construction to the situation where a family of piecewise monotonic tr...

Background. According to revised classification criteria of true antiphospholipid antibody syndrome, at least one of three antiphospholipid antibodies should be present on two or more occasions at least 12 weeks apart. However, it can be inconvenient to perform follow-up tests with interval of 12 weeks. We investigated clinical application of follow-up tests with interval of 12 weeks. Method. T...