American Journal of Applied Mathematics

Volume 7, Issue 4, August 2019

  • Far-fields Radiated of a Small Circular Loop Antenna Utilized in Remote Probing of the Earth

    Hanan Shehata Shoeib

    Issue: Volume 7, Issue 4, August 2019
    Pages: 90-97
    Received: Jul. 14, 2019
    Accepted: Aug. 27, 2019
    Published: Sep. 09, 2019
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    Abstract: In a recent study, the classical problem of a circular loop antenna carrying a uniform current on the Earth's surface has been revisited, with a scope for deriving Closed-form formulae for the generated magnetic and electric far fields by a vertical magnetic dipole (VMD) located at certain height above the surface of a planar two-layer conducting e... Show More
  • Differential Incremental Equilibrium Geometry - Spatial Folding of Protein Particles, Genome Expression and Bidirectional Semiconservative Replication of Ring Chromosomes

    Zhu Rong Rong

    Issue: Volume 7, Issue 4, August 2019
    Pages: 98-113
    Received: Jul. 13, 2019
    Accepted: Jul. 31, 2019
    Published: Sep. 12, 2019
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    Abstract: The research direction of this paper is to study the interdisciplinary subjects of life science, mathematics and computer science at the molecular level from the life science Molecular Cell Biology. On the basis of mathematical primitive innovation "Differential Incremental Balanced Geometry", the cell modification of normal chromosome mitosis was ... Show More
  • Existence and Uniqueness of Entropy Solution for an Elliptic Problem with Nonlinear Boundary Conditions and Measure-data

    Arouna Ouedraogo

    Issue: Volume 7, Issue 4, August 2019
    Pages: 114-126
    Received: Jul. 15, 2019
    Accepted: Aug. 29, 2019
    Published: Sep. 16, 2019
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    Abstract: In this paper, we study a class of elliptic equations on a bounded domain with nonlinear boundary conditions of type graph and measure - data. First of all, give some spaces and basic assumptions. Next, we apply the classical variational approach. So, we need an essentially bounded estimate on the solution, which is not evident to obtain directly i... Show More
  • Modeling and Analysis of Population Dynamics of Human Cells Pertaining to HIV/AIDS with Treatment

    Kumama Regassa, Purnachandra Rao Koya

    Issue: Volume 7, Issue 4, August 2019
    Pages: 127-136
    Received: Jun. 28, 2019
    Accepted: Aug. 03, 2019
    Published: Sep. 20, 2019
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    Abstract: In this paper, a mathematical model has been formulated to describe the population dynamics of human cells pertaining to the HIV/AIDS disease with ART as treatment and is analyzed. The human cells have been divided into four compartments Susceptible – Asymptomatic – Symptomatic – AIDS (SAIV). The well posedness of the four dimensional dynamical sys... Show More