Volume 2, Issue 4 (2006) | Journal of Mathematics and Statistics

New Graph Coloring Algorithms

Hussein Al-Omari — 2007-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2007; doi:10.3844/jmssp.2006.439.441

Two new heuristic graph-coloring algorithms, based on known heuristic algorithms, have been introduced. One of them is a modification of the Largest Degree Ordering (LDO) algorithm, and the other one ...

Well-Posedness of Second Order Uniformly Elliptic Boundary Control Systems with Additive or Multiplicative Uncertainty

Ada Cheng — 2006-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2006; doi:10.3844/jmssp.2006.442.444

Boundary control systems arises naturally in many applications. Any modelling of real systems involve uncertainty. Sufficient conditions for well-posededness for additive or multiplicative uncertaint...

A Mean-Variance Portfolio Optimal Under Utility Pricing

Hürlimann Werner — 2006-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2006; doi:10.3844/jmssp.2006.445.452

An expected utility model of asset choice, which takes into account asset pricing, is considered. The obtained portfolio selection problem under utility pricing is solved under several assumptions inc...

On Self-similar Solution of Non-linear Diffusion Equation with Convection Term

B. I. Olajuwon — 2006-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2006; doi:10.3844/jmssp.2006.453.456

We consider the self-similar solution of non-linear diffusion equation with convection term. We examine the existence and uniqueness of solution of the problem. The numerical result is presented as co...

Computational Discrete Time Markov Chain with Correlated Transition Probabilities

Peerayuth Charnsethikul — 2007-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2007; doi:10.3844/jmssp.2006.457.459

This study presents a computational procedure for analyzing statistics of steady state probabilities in a discrete time Markov chain with correlations among their transition probabilities. The propose...

The Existence and Unbounded Extension of the Solutions of the Systems with Stochastic Impulse Action

Ali M. Ateiwi — 2007-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2007; doi:10.3844/jmssp.2006.460.463

In terms of Liapunov’s functions we received the conditions of the existence and unbounded extension of the solutions of the systems with stochastic impulse action.

Regionalization Method for Nonlinear Differential Equation Systems In a Cartesian Plan

Belaib Lekhmissi — 2006-12-31

Journal of Mathematics and Statistics, Published online: 31 December 2006; doi:10.3844/jmssp.2006.464.468

We propose a regionalization technique for analyzing nonlinear differential equation systems where coefficients are standard and nonzero. The present work starts with the study of a natural object whi...