In this paper, the oscillatory behavior of the solutions for a class of nonlinear mechanical system with delay is investigated. By means of mathematical analysis method, some sufficient conditions to guarantee the oscillation of the solution are obtained. Computer simulations are...
Open access
Research Article10.9734/ARJOM/2017/37180
We study the Homfly polynomial of periodic knotted trivalent plane graphs introduced in [14]. We show how periodicity of a knotted trivalent plane graphs is reflected in this polynomial. In particular, we derive congruences of periodic knotted trivalent plane graphs in terms of t...
Open access
Research Article10.9734/ARJOM/2017/37847
In this paper, we will solve the Logistic and Riccati differential equations using VIM, shifted Chebyshev-spectral fourth kind methods and Hermite collocation method. Where we can from the numerical results we obtained to conclude that the solution using these three approaches co...
Open access
Research Article10.9734/ARJOM/2017/36942
In this paper we are interested in showing the approximate analytical solutions for systems of fractional differential equations and nonlinear biochemical reaction model by using Sumudu transform method. The fractional derivatives are described in the Caputo sense. The applicatio...
Open access
Research Article10.9734/ARJOM/2017/32665
In this paper, optimally controlled economic growth models with Cobb-Douglas aggregate production function are formulated to compare and contrast real per capita GDP performance as the population growth dynamics vary from purely exponential to strongly logistic. Using analytical...
Open access
Research Article10.9734/ARJOM/2017/37189
The assignment problem is one of the well-known combinatorial optimization problems. It consistsof nding a maximum or a minimum weight matching in a weighted bigraph. k-cardinality assignment problem is a special case of the assignment problem with side constraints. The scope of...
Open access
Research Article10.9734/ARJOM/2017/37085
In the present context, the effect of Eckert number and Forchimer number on a two dimensional steady free convective heat and mass transfer flow of an electrically conducting fluid through a porous medium with radiation effect has been analyzed. The governing momentum, energy and...
Open access
Research Article10.9734/ARJOM/2017/36341
The proportiones perfectus law is introduced. Let . By definition, in the spectrum 1≤ y ≤ x , is a proportione perfectus With so defined, for an arbitrary positive integer h1 it is shown that there exists an integer sequence Hn satisfying the quasi-geometric relation such...
Open access
Research Article10.9734/ARJOM/2017/36860
This study considers the effects of concentration based internal heat and vertical magnetic field on the onset of double diffusive convection in a horizontal porous layer using normal mode analysis. The normal mode analysis is used to find solutions for the fluid variables, the c...
Open access
Research Article10.9734/ARJOM/2017/36503