October 2012

Scheme for solving ordinary differential equations with derivative discontinuities: A new class of semi- implicit rational, Runge-Kutta

In this paper, a class of semi- implicit Rational Runge –Kutta scheme is proposed for the integration of differential equations with derivative discontinuities. The method is motivated by varieties of application areas of this class of ordinary differential equations such as electrical transmission network, nuclear reactions, delay problems computer aided designs, economy affected by inflation as well as...

Author(s):    Bolarinwa Bolaji, Ademiluyi R. A.,Oluwagunwa A. P., Awomuse B. O   

October 2012

Almost n-multiplicative maps

  Let  and  be two linear algebras. A linear map  is called an n-homomorphism if  for all . The continuity of n-homomorphisms between Banach algebras as well as the almost multiplicative linear operators has been recently studied. In this note, we have a verification on the behavior of almost n-multiplicative linear maps with .   Key...

Author(s): E. Ansari-Piri and N. Eghbali