Browsing Research Articles (Mathematics and Applied Mathematics) by Title

Browsing Research Articles (Mathematics and Applied Mathematics) by Title

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  • RNP and Lewis RNP for all 14 natural tensor norms of Grothendieck 
    Maepa, S.M. (Salthiel Malesela) (NISC, 2011)
    We classify all 14 natural tensor norms of Grothendieck according to the possession of the lack of the Radon-Nikodym property (RNP) and the Lewis Radon-Nikodym property.
  • A robust spectral integral method for solving chaotic finance systems 
    Moutsinga, Claude Rodrigue Bambe; Pindza, Edson; Mare, Eben (Elsevier, 2020-03)
    Nonlinear chaotic finance systems are represented by nonlinear ordinary differential equations and play a significant role in micro-and macroeconomics. In general, these systems do not have exact solutions. As a result, ...
  • The Ross recovery theorem with a regularised multivariate Markov chain 
    Van Appel, Vaughan; Mare, Eben (Operations Research Society of South Africa, 2018-11-04)
    Recently, Ross derived a theorem, namely the “Recovery Theorem”, that allows for the recovery of the pricing kernel and real-world asset distribution, under particular assumptions, from a forward-looking risk neutral ...
  • Safe spending rates for South African retirees 
    Mare, Eben (AOSIS Open Journals, 2016-01)
    Retirees face a difficult financial choice. They need to decide on an appropriate amount to withdraw from their retirement investment and they need to ‘optimise’ between outliving their money and living below their means. ...
  • Semilinear De Morgan monoids and epimorphisms 
    Wannenburg, Johann Joubert; Raftery, James G. (Springer, 2024-01)
    A representation theorem is proved for De Morgan monoids that are (i) semilinear, i.e., subdirect products of totally ordered algebras, and (ii) negatively generated, i.e., generated by lower bounds of the neutral element. ...
  • Sex-structured model of Wolbachia invasion and design of sex-biased release strategies in Aedes spp mosquitoes populations 
    Bliman, Pierre-Alexandre; Dumont, Yves; Escobar-Lasso, Oscar Eduardo; Martinez-Romero, Hector J.; Vasilieva, Olga (Elsevier, 2023-07)
    Laboratory experiments as well as some field essays have revealed that the intracellular bacterium Wolbachia, deliberately introduced in Aedes spp female mosquitoes, drastically reduces their vector competence for dengue ...
  • Shear flows of a new class of power-law fluids 
    Le Roux, Christiaan; Rajagopal, Kumbakonam R. (Springer, 2013-02)
    We consider the flow of a class of incompressible fluids which are constitutively defined by the symmetric part of the velocity gradient being a function, which can be nonmonotone, of the deviator of the stress tensor. ...
  • Sibling curves and complex roots 2 : looking ahead 
    Harding, Ansie; Engelbrecht, Johann (Taylor & Francis, 2007-01-07)
    This paper, the second of a two part article, expands on an idea that appeared in literature in the 1950s to show that by resticting the domain to those complex numbers that map onto real numbers, representations of functions ...
  • Sibling curves of cubic polynomials 
    Wiggins, Harry (NISC (Pty) Ltd and Informa UK Limited (trading as the Taylor & Francis Group), 2020)
    Sibling curves are a new way to represent the zeroes of any complex-valued function. Interesting results are already known for the sibling curves of quadratic polynomials. In this article a complete investigation of sibling ...
  • A simple mathematical model for Ebola in Africa 
    Tsanou, Berge; Lubuma, Jean M.-S.; Moremedi, G.M.; Morris, Neil Kenneth; Kondera-Shava, R. (Taylor and Francis, 2017)
    We deal with the following question: Can the consumption of contaminated bush meat, the funeral practices and the environmental contamination explain the recurrence and persistence of Ebola virus disease outbreaks in Africa? ...
  • A simulation study to assess the epidemiological impact of pneumonia transmission dynamics in high-risk populations 
    Chukwu, C.W.; Tchoumi, Stephane Y.; Diagne, M.L. (Elsevier, 2024-03)
    The term “high-risk population” refers to individuals with an increased likelihood of contracting a severe illness or disease due to factors such as age, underlying medical conditions, pregnancy, geographical location, or ...
  • Simultaneous identification of damping coefficient and initial value for PDEs from boundary measurement 
    Zhao, Zhi-Xue; Banda, M.K. (Mapundi); Guo, Bao-Zhu (Taylor and Francis, 2018)
    In this paper, simultaneous identification of damping or anti-damping coefficient and initial value for some Riesz spectral systems is considered. An identification algorithm is proposed based on the fact that the output ...
  • Sinc collocation method for solving the Benjamin-Ono equation 
    Pindza, Edson; Mare, Eben; Benim, Ali Cemal (Hindawi Publishing, 2014-07-23)
    We propose a simple, though powerful, technique for numerical solutions of the Benjamin-Ono equation. This approach is based on a global collocation method using Sinc basis functions. Some properties of the Sinc collocation ...
  • Singly generated quasivarieties and residuated structures 
    Moraschini, Tommaso; Raftery, James G.; Wannenburg, Johann Joubert (Wiley, 2020-07)
    Please read abstract in the article.
  • A singular limit for an age structured mutation problem 
    Banasiak, Jacek; Falkiewicz, Aleksandra (American Institute of Mathematical Sciences, 2017-02)
    The spread of a particular trait in a cell population often is modelled by an appropriate system of ordinary differential equations describing how the sizes of subpopulations of the cells with the same genome change in ...
  • A soft condensed matter approach towards mathematical modelling of mass transport and swelling in food grains 
    Chapwanya, Michael; Misra, N.N. (Elsevier, 2015-01)
    Soft condensed matter (SCM) physics has recently gained importance for a large class of engineering materials. The treatment of food materials from a soft matter perspective, however, is only at the surface and is gaining ...
  • A soft version of the Knaster–Tarski fixed point theorem with applications 
    Leyew, Bahru Tsegaye; Abbas, Mujahid (Springer, 2017-12)
    In this paper first we define a partial order on a soft set (F, A) and introduce some related concepts. Then using the concept of a soft mapping introduced by Babitha and Sunil [Comput. Math. Appl., 60 (7) (2010), ...
  • Solutions of smooth nonlinear partial differential equations 
    Van der Walt, Jan Harm; Clark, Stephen (Hindawi Publishing Corporation, 2011-04-15)
    The method of order completion provides a general and type-independent theory for the existence and basic regularity of the solutions of large classes of systems of nonlinear partial differential equations PDEs . Recently, ...
  • Solvability and supersolvability criteria related to character codegrees 
    Madanha, Sesuai Yasha (World Scientific Publishing, 2023)
    Please read abstract in the article.
  • Solvability of a model for the vibration of a beam with a damping tip body 
    Basson, Madelein; De Villiers, M.; Van Rensburg, N.F.J. (Hindawi Publishing, 2014-05)
    We consider a model for the vibration of a beamwith a damping tip body that appeared in a previous article. In this paper we derive a variational form for the motion of the beam and use it to prove that the model problem ...