Mathsj

THE WEAK SOLUTION OF BLACK-SCHOLE’S OPTION PRICING MODEL WITH TRANSACTION COST  Bright O. Osu and Chidinma Olunkwa  Department of Mathematics, Abia State University, Uturu, Nigeria   ABSTRACT  This paper considers the equation of the type − + + = , ( , ) ∈ ℝ × (0, ); which is the Black-Scholes option pricing model that includes the presence of transaction cost. The existence, uniqueness and continuous dependence of the weak solution of the Black-Scholes model with transaction cost are established.The continuity of weak solution of the parameters was discussed and similar solution as in literature obtained. KEYWORDS Black-Scholes Model, Option pricing, Transaction costs, Weak solution,Sobolev space  SOURCE URL https://airccse.com/mathsj/papers/1114mathsj04.pdf VOLUME LINK https://airccse.com/mathsj/vol1.html

DISCRETIZATION OF A MATHEMATICAL MODEL FOR TUMOR-IMMUNE SYSTEM INTERACTION WITH PIECEWISE CONSTANT ARGUMENTS  Senol Kartal 1 and Fuat Gurcan 2   1 Department of Mathematics, Nevsehir Hacı Bektas Veli University, Nevsehir, Turkey  2 Department of Mathematics, Erciyes University, Kayseri, Turkey 2 Faculty of Engineering and Natural Sciences, International University of Sarajevo, Hrasnicka cesta 15, 71000, Sarejevo, BIH  ABSTRACT  The present study deals with the analysis of a Lotka-Volterra model describing competition between tumor and immune cells. The model consists of differential equations with piecewise constant arguments and based on metamodel constructed by Stepanova. Using the method of reduction to discrete equations, it is obtained a system of difference equations from the system of differential equations. In order to get local and global stability conditions of the positive equilibrium point of the system, we use Schur-Cohn criteri...