This paper investigates four classes of functions with a single discontinuous point. We give the sufficient and necessary conditions under which the second order iterates are continuous functions.

1 Department of Mathematics, Binzhou University, Shandong, China. 2 Department of Mathematics, Neijiang Normal University, Sichuan, China. of functions [1] - [7] , computing the n-th iterate of ...

Abstract: Paper is devoted to the development of a method for approximating discontinuous functions by discontinuous splines and the construction of an algorithm for detecting discontinuity lines. The ...

Abstract: The present paper mainly discuss the classification of continuous and discontinuous functions of unbounded variation on closed intervals. The classification of functions of bounded variation ...

Commonly, in Ordinary Differential Equations courses, equations with impulses or discontinuous forcing functions are studied. In this context, the Laplace Transform of the Dirac delta function and ...