Aeran Kim · Asian Research Journal of Mathematics · 2018
For a1, a2, , a6 we dene and mainly we obtain some convolution sums and etc.
Lijiang Zeng · Asian Research Journal of Mathematics · 2018
It has been preliminary researched that function series and power series in mathematical analysis course. There are some basic properties and the basic conclusion in the courses. This article is based on the basic theory and properties, for them to make a further in-depth study....
Aeran Kim · Asian Research Journal of Mathematics · 2018
In this paper we evaluate the number of representations of n(∈ N) as a sum of four triangular numbers by simple method based on Jacobi's theta functions dened by
L. I. Jingyi · Asian Research Journal of Mathematics · 2018
There are two basic problems in the qualitative theory of planar nonlinear differential equations, namely the center focus and the limit cycle. The decision problem of the center focus is also the premise and foundation of the study on the limit cycle. Therefore, the study of the...
Wachira M. Charles, Lawi O. George & J. Malinzi · Asian Research Journal of Mathematics · 2018
Despite the preventive and control strategies in place, ZikV disease still persists especially in the Western countries and the Pacific islands. In this study, a spatiotemporal model is developed and analyzed to describe the transmission dynamics of ZikV disease and deduce potent...
Reuben Iortyer Gweryina, Anande Richard Kimbir & Terhemen Aboiyar · Asian Research Journal of Mathematics · 2018
We perform numerical simulation and sensitivity analysis on a mathematical model of Ebola transmission to determine the biological significance of key model parameters in relation to disease transmissions and prevalence. The indices from the forward sensitivity of Reff affirm th...
A. T. Ngiangia, M. A. Orukari & F. Jim-George · Asian Research Journal of Mathematics · 2018
The effect of magnetic field on radioactive alpha decay was examined theoretically. The alpha decay and magnetic field potential are added to the time independent Schrodinger wave equation and the Jeffreys, Wentzel, Kramers and Brillouin (JWKB) method was used to examine the rad...
Ahmad Adlie Shamsuri, Muhamad Imran Awing & Mohd Lufti Mohd Tawil · Asian Research Journal of Mathematics · 2018
In this study, a thermoplastic such as polycarbonate (PC) has been characterized to determine its tensile strength and flexural strength properties. The width and thickness of the PC samples have been measured, and then their average dimensions and standard deviation values were...
Lovemore Mamombe · Asian Research Journal of Mathematics · 2018
The a:k:m-Fibonacci sequence is defined recursively by . We introduce the generalized a:k:m-Fibonacci sequence with arbitrary integers and and study some important properties relating to the Pascal type triangle generated from this sequence. The results are extended to negative...
Xiang Kai Dou, Li Yin & Chun Fang Liu · Asian Research Journal of Mathematics · 2018
In this paper, we establish some new Turán type inequalities related to the remainder of q-analogue of exponential functions. Our results are shown to be a generalization which were obtained by K. Mehrez in 2015.
Shao-yun Li, Hui-zuo Xu & Fang Jin · Asian Research Journal of Mathematics · 2018
In this paper, the authors prove that the double inequalities hold for all a, b > 0 with if and only if α1 ≤ 1/2, β1 ≥ 3/5,α2 ≤ 1/3 and β2 ≥1/2.Here T(a, b),T [A(a, b), G(a, b)],H(a, b) and G(a, b) are the Toader, Toader-type, harmonic and geometric means of a and b , respecti...
Ebiendele Ebosele Peter & Nosakhare Fidelis Uwadia · Asian Research Journal of Mathematics · 2018
The objectives of this paper is to investigate the Cauchy problem of the type ( ℒx)(t) x(t) – p(ṫ )x(t) = f(t). x(a) = α, tϵ[a, b] and to establishes the necessary and sufficient conditions for it solvability if the matrix are sum able. Thus the above equations can be re w...
S. G. Ngulde, B. A. Madu & D. Samaila · Asian Research Journal of Mathematics · 2018
Based on the concept of group representation theory, new representations can be generated by direct product (or tensor product) of any two representations of a group. In such case, their irreducible representations are also the direct product. But the conditions under which these...
Tireito K. Frankline, Lawi O. George & Okaka A. Colleta · Asian Research Journal of Mathematics · 2018
Current treatment for HIV infection consists of Highly Active Antiretroviral (ART) therapy. However, lack of adherence to ART treatment has hampered the bene ts of the ART treatment strategy and viral load suppression. Most of the treatment models studied so far do not explicitly...
Yongqin Liu & Xiaoning Cai · Asian Research Journal of Mathematics · 2018
Aims/ Objectives: To study the dissipation of solutions for a plate equation Methodology: energy method, Fourier analysis. Results: The energy estimate and decay estimates of solutions are obtained. Conclusion: The dissipative term has effect on the decay of solutions and the dis...