**Bounded convergence theorem for abstract Kurzweil-Stieltjes Integral, Monatshefte für Mathematik, July 2016, Volume 180, Issue 3, pp 409–434**. [PDF –*the first version*]. This paper [*the final version*] is at present in Ch.1 and Ch.2 of the book, precisely the monograph, entitled “Kurzweil-Stieltjes Integral – Theory and Applications” by World Scientific Publishing. This book is recommended as a textbook for advanced university or PhD courses covering the theory of integration or differential equations. The applications of the Kurzweil-Stieltjes integral in functional analysis and generalized differential equations including the dynamical equations in this book are given. Click here-1 or here-2 about monographs in mathematics.**Harnack extension principle supporting the Kurzweil type Stieltjes integration, 2016**.**To appear**. Since the values of the Kurzweil-Stieltjes integrals over [c,d], (c,d], [c,d), and (c,d) need not coincide for discontinuous integrator (see the paper 1 above), the Harnack extension principle cannot be extended straightforwardly as that one derived in the Henstock-Kurzweil integration.