Syllabi of Capita Selecta of Analysis Semester II 2017/2018 by Umi Mahnuna Hanung, M.Si.

Subject: Kapita Selekta Matematika Analisis (MMM-4149)
Topic: Kurzweil-Stieltjes Integral and Its Applications
Supporting lecturer: Umi Mahnuna Hanung, M.Si.

1. Step functions
2. Functions of bounded variation
3. Semivariation
4. Regulated functions
5. Simply regulated functions
6. Henstock-Kurzweil-Stieltjes integral
7. Generalized linear differential equations
8. Homogeneous linear integral equations
9. Basic concepts in time scales
10. Applications to dynamic equations on times scales

1. M. Bohner, A. Peterson, Dynamic Equations on Time Scales: An Introduction with Applications. Birkhauser, Boston, 2001.
2. D. Frankova, Regulated functions, Math. Bohem. 116 (1), 1991, 20-59.
3. G. A. Monteiro, A. Slavík, and M. Tvrdý,  Kurzweil–Stieltjes Integral: Theory and Applications. World Scientific, Singapore, 2017.