American Research Journal of Mathematics

Paul T E Cusack

In this paper, we describe the philosophy of Math as determined by Astrothoelogy Theory. Convergence upon the function being equal to the function is of paramount importance. Also, knowing that the function of the human mind is the golden mean parabola (GMP) is critical. The Philosophy lies at the heart of understating the mission that the human race is to aspire as its final work.

Reza Habibi

This paper is concerned with optimal time for enter or exit of a financial position such as sell or buying a specified stock. Throughout the current paper, it is assumed that the mean function of return process of asset (say stock) price is time varying. Indeed, first, considering the step function of Yao (1984), optimal trading strategies problem are studied using optimal stopping technique and dynamic programming solutions are proposed. Optimal stopping rules are presented and they are applied to two real data sets. Then, alternative ways for formulation of time varying mean functions are studied throughout the simulated examples. Finally, concluding remarks are proposed. 

Chunhua Feng

In this paper, a system of n coupled damped Duffing resonators driven by m van der Pol oscillators with delays is studied. Some sufficient conditions to ensure the permanent oscillation for the system are established. Computer simulation is given to demonstrate the result of our criterion.

Chunhua Feng

n this paper, a system of n coupled damped Duffing resonators driven by m van der Pol oscillators with delays is studied. Some sufficient conditions to ensure the permanent oscillation for the system are established. Computer simulation is given to demonstrate the result of our criterion.